10856776320 has 576 divisors, whose sum is σ = 42804871200. Its totient is φ = 2527469568.

The previous prime is 10856776303. The next prime is 10856776367. The reversal of 10856776320 is 2367765801.

10856776320 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 6 + 7 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18495067 + ... + 18495653.

Almost surely, 2^10856776320 is an apocalyptic number.

10856776320 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 10856776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21402435600).

10856776320 is an abundant number, since it is smaller than the sum of its proper divisors (31948094880).

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

10856776320 is a wasteful number, since it uses less digits than its factorization.

10856776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10856776320 in words is "ten billion, eight hundred fifty-six million, seven hundred seventy-six thousand, three hundred twenty".