10556876736 has 126 divisors (see below), whose sum is σ = 35199782280. Its totient is φ = 3016242432.

The previous prime is 10556876731. The next prime is 10556876749. The reversal of 10556876736 is 63767865501.

10556876736 is a `hidden beast` number, since 1 + 0 + 5 + 568 + 7 + 6 + 73 + 6 = 666.

10556876736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-3 number, since 3×10556876736³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10556876731) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 158796 + ... + 215243.

Almost surely, 2^10556876736 is an apocalyptic number.

10556876736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10556876736 is an abundant number, since it is smaller than the sum of its proper divisors (24642905544).

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

10556876736 is a wasteful number, since it uses less digits than its factorization.

10556876736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374071 (or 374051 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 10556876736 in words is "ten billion, five hundred fifty-six million, eight hundred seventy-six thousand, seven hundred thirty-six".