256780653075600 has 120 divisors (see below), whose sum is σ = 822642688768992. Its totient is φ = 68467459891200.

The previous prime is 256780653075599. The next prime is 256780653075647. The reversal of 256780653075600 is 6570356087652.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390862 + ... + 22665261.

Almost surely, 2^{256780653075600} is an apocalyptic number.

256780653075600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256780653075600 is an abundant number, since it is smaller than the sum of its proper divisors (565862035693392).

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

256780653075600 is a wasteful number, since it uses less digits than its factorization.

256780653075600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23065425 (or 23065414 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 60.

The spelling of 256780653075600 in words is "two hundred fifty-six trillion, seven hundred eighty billion, six hundred fifty-three million, seventy-five thousand, six hundred".