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55523223122400 = 25345211101771233
BaseRepresentation
bin11001001111111100000011…
…11111011011000111100000
321021120222010212212221210000
430213332001333123013200
524234143030104404100
6314031003325140000
714460264141352065
oct1447760177330740
9237528125787700
1055523223122400
11167672a2a68690
1262889330ba600
1324c9a81cb5b47
14d9d4a4582c6c
15664446b99900
hex327f81fdb1e0

55523223122400 has 720 divisors, whose sum is σ = 223077207176208. Its totient is φ = 13326888960000.

The previous prime is 55523223122371. The next prime is 55523223122459. The reversal of 55523223122400 is 422132232555.

It is a happy number.

55523223122400 is a `hidden beast` number, since 5 + 5 + 5 + 2 + 3 + 223 + 1 + 22 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 71607184 + ... + 72378416.

Almost surely, 255523223122400 is an apocalyptic number.

55523223122400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55523223122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111538603588104).

55523223122400 is an abundant number, since it is smaller than the sum of its proper divisors (167553984053808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55523223122400 is a wasteful number, since it uses less digits than its factorization.

55523223122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771377 (or 771355 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 55523223122400 its reverse (422132232555), we get a palindrome (55945355354955).

It can be divided in two parts, 555232 and 23122400, that added together give a palindrome (23677632).

The spelling of 55523223122400 in words is "fifty-five trillion, five hundred twenty-three billion, two hundred twenty-three million, one hundred twenty-two thousand, four hundred".