256753765032420 has 48 divisors (see below), whose sum is σ = 719743578785280. Its totient is φ = 68388333847296.

The previous prime is 256753765032419. The next prime is 256753765032461. The reversal of 256753765032420 is 24230567357652.

It is a happy number.

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, 2479223665 + ... + 2479327224.

It is an arithmetic number, because the mean of its divisors is an integer number (14994657891360).

Almost surely, 2^{256753765032420} is an apocalyptic number.

256753765032420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256753765032420 is an abundant number, since it is smaller than the sum of its proper divisors (462989813752860).

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

256753765032420 is a wasteful number, since it uses less digits than its factorization.

256753765032420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4958551764 (or 4958551762 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 57.

The spelling of 256753765032420 in words is "two hundred fifty-six trillion, seven hundred fifty-three billion, seven hundred sixty-five million, thirty-two thousand, four hundred twenty".