256542203520 has 192 divisors, whose sum is σ = 916420213800. Its totient is φ = 66052202496.

The previous prime is 256542203447. The next prime is 256542203557. The reversal of 256542203520 is 25302245652.

256542203520 is a `hidden beast` number, since 2 + 565 + 42 + 2 + 0 + 3 + 52 + 0 = 666.

256542203520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 124180121664 + 132362081856 = 352392^2 + 363816^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600867 + ... + 934946.

Almost surely, 2^256542203520 is an apocalyptic number.

256542203520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256542203520 is an abundant number, since it is smaller than the sum of its proper divisors (659878010280).

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

256542203520 is a wasteful number, since it uses less digits than its factorization.

256542203520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535867 (or 1535852 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 256542203520 in words is "two hundred fifty-six billion, five hundred forty-two million, two hundred three thousand, five hundred twenty".