256120000860 has 96 divisors (see below), whose sum is σ = 735344144640. Its totient is φ = 66585581568.

The previous prime is 256120000859. The next prime is 256120000921. The reversal of 256120000860 is 68000021652.

256120000860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 61531 + ... + 718349.

It is an arithmetic number, because the mean of its divisors is an integer number (7659834840).

Almost surely, 2^256120000860 is an apocalyptic number.

256120000860 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 256120000860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367672072320).

256120000860 is an abundant number, since it is smaller than the sum of its proper divisors (479224143780).

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

256120000860 is a wasteful number, since it uses less digits than its factorization.

256120000860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656995 (or 656993 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 256120000860 in words is "two hundred fifty-six billion, one hundred twenty million, eight hundred sixty", and thus it is an aban number.