10555632000 has 192 divisors, whose sum is σ = 37908430560. Its totient is φ = 2814796800.

The previous prime is 10555631953. The next prime is 10555632011. The reversal of 10555632000 is 23655501.

10555632000 is a `hidden beast` number, since 105 + 556 + 3 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10555632000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 107349 + ... + 180651.

Almost surely, 2^10555632000 is an apocalyptic number.

10555632000 is a gapful number since it is divisible by the number (10) 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 10555632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18954215280).

10555632000 is an abundant number, since it is smaller than the sum of its proper divisors (27352798560).

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

10555632000 is an equidigital number, since it uses as much as digits as its factorization.

10555632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73338 (or 73313 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 10555632000 in words is "ten billion, five hundred fifty-five million, six hundred thirty-two thousand".