10856676800 has 84 divisors (see below), whose sum is σ = 27080449776. Its totient is φ = 4283136000.

The previous prime is 10856676773. The next prime is 10856676823. The reversal of 10856676800 is 867665801.

10856676800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10856676800² (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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70325 + ... + 163275.

Almost surely, 2^10856676800 is an apocalyptic number.

10856676800 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 10856676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540224888).

10856676800 is an abundant number, since it is smaller than the sum of its proper divisors (16223772976).

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

10856676800 is an equidigital number, since it uses as much as digits as its factorization.

10856676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93046 (or 93031 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 10856676800 in words is "ten billion, eight hundred fifty-six million, six hundred seventy-six thousand, eight hundred".