256979377872 has 240 divisors, whose sum is σ = 854855619072. Its totient is φ = 73208396160.

The previous prime is 256979377829. The next prime is 256979377873. The reversal of 256979377872 is 278773979652.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 256979377872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256979377873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9430347 + ... + 9457557.

Almost surely, 2^256979377872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256979377872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427427809536).

256979377872 is an abundant number, since it is smaller than the sum of its proper divisors (597876241200).

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

256979377872 is a wasteful number, since it uses less digits than its factorization.

256979377872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27588 (or 27570 counting only the distinct ones).

The product of its digits is 560105280, while the sum is 72.

The spelling of 256979377872 in words is "two hundred fifty-six billion, nine hundred seventy-nine million, three hundred seventy-seven thousand, eight hundred seventy-two".