10256520672 has 72 divisors (see below), whose sum is σ = 30247262136. Its totient is φ = 3418837632.

The previous prime is 10256520619. The next prime is 10256520679. The reversal of 10256520672 is 27602565201.

10256520672 is a `hidden beast` number, since 1 + 0 + 2 + 565 + 20 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10256520679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 651723 + ... + 667274.

It is an arithmetic number, because the mean of its divisors is an integer number (420100863).

Almost surely, 2^10256520672 is an apocalyptic number.

10256520672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10256520672 is an abundant number, since it is smaller than the sum of its proper divisors (19990741464).

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

10256520672 is an equidigital number, since it uses as much as digits as its factorization.

10256520672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319022 (or 1319002 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 10256520672 in words is "ten billion, two hundred fifty-six million, five hundred twenty thousand, six hundred seventy-two".