256527622650560 has 224 divisors, whose sum is σ = 639372726961920. Its totient is φ = 97931853824000.

The previous prime is 256527622650539. The next prime is 256527622650643. The reversal of 256527622650560 is 65056226725652.

It is a self number, because there is not a number n which added to its sum of digits gives 256527622650560.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1312728860 + ... + 1312924260.

It is an arithmetic number, because the mean of its divisors is an integer number (2854342531080).

Almost surely, 2^{256527622650560} is an apocalyptic number.

256527622650560 is a gapful number since it is divisible by the number (20) 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 256527622650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319686363480960).

256527622650560 is an abundant number, since it is smaller than the sum of its proper divisors (382845104311360).

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

256527622650560 is a wasteful number, since it uses less digits than its factorization.

256527622650560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197635 (or 197625 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 59.

The spelling of 256527622650560 in words is "two hundred fifty-six trillion, five hundred twenty-seven billion, six hundred twenty-two million, six hundred fifty thousand, five hundred sixty".