10597568256 has 432 divisors, whose sum is σ = 36641299968. Its totient is φ = 3019161600.

The previous prime is 10597568243. The next prime is 10597568279. The reversal of 10597568256 is 65286579501.

10597568256 is a `hidden beast` number, since 1 + 0 + 59 + 7 + 568 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×10597568256² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 11632441 + ... + 11633351.

It is an arithmetic number, because the mean of its divisors is an integer number (84817824).

Almost surely, 2^10597568256 is an apocalyptic number.

10597568256 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 10597568256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18320649984).

10597568256 is an abundant number, since it is smaller than the sum of its proper divisors (26043731712).

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

10597568256 is an equidigital number, since it uses as much as digits as its factorization.

10597568256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 10597568256 in words is "ten billion, five hundred ninety-seven million, five hundred sixty-eight thousand, two hundred fifty-six".