10032512256 has 180 divisors, whose sum is σ = 32217166212. Its totient is φ = 3086843904.

The previous prime is 10032512239. The next prime is 10032512291. The reversal of 10032512256 is 65221523001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2838758400 + 7193753856 = 53280^2 + 84816^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 250960 + ... + 288176.

Almost surely, 2^10032512256 is an apocalyptic number.

10032512256 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 10032512256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16108583106).

10032512256 is an abundant number, since it is smaller than the sum of its proper divisors (22184653956).

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

10032512256 is an equidigital number, since it uses as much as digits as its factorization.

10032512256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37258 (or 37235 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 10032512256 in words is "ten billion, thirty-two million, five hundred twelve thousand, two hundred fifty-six".