256791280043520 has 160 divisors (see below), whose sum is σ = 912144026233440. Its totient is φ = 68477674659840.

The previous prime is 256791280043509. The next prime is 256791280043569. The reversal of 256791280043520 is 25340082197652.

256791280043520 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 9 + 1 + 280 + 0 + 4 + 352 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent 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, 1857506691 + ... + 1857644930.

It is an arithmetic number, because the mean of its divisors is an integer number (5700900163959).

It is a 1-persistent number, because it is pandigital, but 2⋅256791280043520 = 513582560087040 is not.

Almost surely, 2^{256791280043520} is an apocalyptic number.

256791280043520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256791280043520 is an abundant number, since it is smaller than the sum of its proper divisors (655352746189920).

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

256791280043520 is an equidigital number, since it uses as much as digits as its factorization.

256791280043520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715151653 (or 3715151631 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 256791280043520 in words is "two hundred fifty-six trillion, seven hundred ninety-one billion, two hundred eighty million, forty-three thousand, five hundred twenty".