10232720256 has 384 divisors, whose sum is σ = 32102582400. Its totient is φ = 2877050880.

The previous prime is 10232720243. The next prime is 10232720273. The reversal of 10232720256 is 65202723201.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59148586 + ... + 59148758.

It is an arithmetic number, because the mean of its divisors is an integer number (83600475).

Almost surely, 2^10232720256 is an apocalyptic number.

10232720256 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 10232720256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16051291200).

10232720256 is an abundant number, since it is smaller than the sum of its proper divisors (21869862144).

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

10232720256 is a wasteful number, since it uses less digits than its factorization.

10232720256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 10232720256 in words is "ten billion, two hundred thirty-two million, seven hundred twenty thousand, two hundred fifty-six".