10550625380352 has 384 divisors, whose sum is σ = 33737008032000. Its totient is φ = 3247957278720.

The previous prime is 10550625380279. The next prime is 10550625380357. The reversal of 10550625380352 is 25308352605501.

10550625380352 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 0 + 62 + 538 + 0 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10550625380352² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10550625380298 and 10550625380307.

It is not an unprimeable number, because it can be changed into a prime (10550625380357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36739402 + ... + 37025462.

It is an arithmetic number, because the mean of its divisors is an integer number (87856791750).

Almost surely, 2^{10550625380352} is an apocalyptic number.

10550625380352 is a gapful number since it is divisible by the number (12) 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 10550625380352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16868504016000).

10550625380352 is an abundant number, since it is smaller than the sum of its proper divisors (23186382651648).

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

10550625380352 is a wasteful number, since it uses less digits than its factorization.

10550625380352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286144 (or 286118 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

Adding to 10550625380352 its reverse (25308352605501), we get a palindrome (35858977985853).

The spelling of 10550625380352 in words is "ten trillion, five hundred fifty billion, six hundred twenty-five million, three hundred eighty thousand, three hundred fifty-two".