10997956800 has 504 divisors, whose sum is σ = 41036516352. Its totient is φ = 2790144000.

The previous prime is 10997956777. The next prime is 10997956889. The reversal of 10997956800 is 865979901.

10997956800 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 79 + 568 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 71 ways as a sum of consecutive naturals, for example, 31694227 + ... + 31694573.

Almost surely, 2^10997956800 is an apocalyptic number.

10997956800 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 10997956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20518258176).

10997956800 is an abundant number, since it is smaller than the sum of its proper divisors (30038559552).

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

10997956800 is a wasteful number, since it uses less digits than its factorization.

10997956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 10997956800 in words is "ten billion, nine hundred ninety-seven million, nine hundred fifty-six thousand, eight hundred".