10956038400 has 864 divisors, whose sum is σ = 43797196800. Its totient is φ = 2670796800.

The previous prime is 10956038389. The next prime is 10956038417. The reversal of 10956038400 is 483065901.

10956038400 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 603 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154310365 + ... + 154310435.

It is an arithmetic number, because the mean of its divisors is an integer number (50691200).

Almost surely, 2^10956038400 is an apocalyptic number.

10956038400 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 10956038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21898598400).

10956038400 is an abundant number, since it is smaller than the sum of its proper divisors (32841158400).

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

10956038400 is a wasteful number, since it uses less digits than its factorization.

10956038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10956038400 in words is "ten billion, nine hundred fifty-six million, thirty-eight thousand, four hundred".