55359980582400 has 1800 divisors, whose sum is σ = 223559064507240. Its totient is φ = 13523083591680.

The previous prime is 55359980582359. The next prime is 55359980582407. The reversal of 55359980582400 is 428508995355.

55359980582400 is a `hidden beast` number, since 5 + 5 + 3 + 5 + 9 + 9 + 8 + 0 + 582 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55359980582407) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 24355467664 + ... + 24355469936.

Almost surely, 2^{55359980582400} is an apocalyptic number.

55359980582400 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 55359980582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111779532253620).

55359980582400 is an abundant number, since it is smaller than the sum of its proper divisors (168199083924840).

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

55359980582400 is a wasteful number, since it uses less digits than its factorization.

55359980582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 63.

The spelling of 55359980582400 in words is "fifty-five trillion, three hundred fifty-nine billion, nine hundred eighty million, five hundred eighty-two thousand, four hundred".