256777277632008 has 64 divisors (see below), whose sum is σ = 733697326080000. Its totient is φ = 73360140324672.

The previous prime is 256777277631983. The next prime is 256777277632013. The reversal of 256777277632008 is 800236772777652.

256777277632008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256777277632008² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47381928 + ... + 52522391.

It is an arithmetic number, because the mean of its divisors is an integer number (11464020720000).

Almost surely, 2^{256777277632008} is an apocalyptic number.

256777277632008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

256777277632008 is an abundant number, since it is smaller than the sum of its proper divisors (476920048447992).

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

256777277632008 is a wasteful number, since it uses less digits than its factorization.

256777277632008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99919634 (or 99919630 counting only the distinct ones).

The product of its (nonzero) digits is 580849920, while the sum is 69.

The spelling of 256777277632008 in words is "two hundred fifty-six trillion, seven hundred seventy-seven billion, two hundred seventy-seven million, six hundred thirty-two thousand, eight".