10010552656 has 80 divisors (see below), whose sum is σ = 21643614720. Its totient is φ = 4455959040.

The previous prime is 10010552653. The next prime is 10010552753. The reversal of 10010552656 is 65625501001.

It is a super-2 number, since 2×10010552656² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010552653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642721 + ... + 658111.

It is an arithmetic number, because the mean of its divisors is an integer number (270545184).

Almost surely, 2^10010552656 is an apocalyptic number.

10010552656 is a gapful number since it is divisible by the number (16) 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 10010552656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10821807360).

10010552656 is an abundant number, since it is smaller than the sum of its proper divisors (11633062064).

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

10010552656 is a wasteful number, since it uses less digits than its factorization.

10010552656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15524 (or 15518 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 10010552656 in words is "ten billion, ten million, five hundred fifty-two thousand, six hundred fifty-six".