256806007000 has 32 divisors (see below), whose sum is σ = 600926058720. Its totient is φ = 102722402400.

The previous prime is 256806006943. The next prime is 256806007009. The reversal of 256806007000 is 700608652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256806007009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128402004 + ... + 128404003.

It is an arithmetic number, because the mean of its divisors is an integer number (18778939335).

Almost surely, 2^256806007000 is an apocalyptic number.

256806007000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256806007000 is an abundant number, since it is smaller than the sum of its proper divisors (344120051720).

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

256806007000 is a wasteful number, since it uses less digits than its factorization.

256806007000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256806028 (or 256806014 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 256806007000 in words is "two hundred fifty-six billion, eight hundred six million, seven thousand".