256666765110700 has 72 divisors (see below), whose sum is σ = 652058786754144. Its totient is φ = 85853691456000.

The previous prime is 256666765110671. The next prime is 256666765110709. The reversal of 256666765110700 is 7011567666652.

It is not an unprimeable number, because it can be changed into a prime (256666765110709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4471517731 + ... + 4471575130.

It is an arithmetic number, because the mean of its divisors is an integer number (9056372038252).

Almost surely, 2^{256666765110700} is an apocalyptic number.

256666765110700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256666765110700 is an abundant number, since it is smaller than the sum of its proper divisors (395392021643444).

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

256666765110700 is a wasteful number, since it uses less digits than its factorization.

256666765110700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8943092923 (or 8943092916 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 58.

The spelling of 256666765110700 in words is "two hundred fifty-six trillion, six hundred sixty-six billion, seven hundred sixty-five million, one hundred ten thousand, seven hundred".