256432631520 has 96 divisors (see below), whose sum is σ = 869898409632. Its totient is φ = 63121876992.

The previous prime is 256432631513. The next prime is 256432631549. The reversal of 256432631520 is 25136234652.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×256432631520³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 20541247 + ... + 20553726.

It is an arithmetic number, because the mean of its divisors is an integer number (9061441767).

Almost surely, 2^256432631520 is an apocalyptic number.

256432631520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256432631520 is an abundant number, since it is smaller than the sum of its proper divisors (613465778112).

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

256432631520 is a wasteful number, since it uses less digits than its factorization.

256432631520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41095004 (or 41094996 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 256432631520 in words is "two hundred fifty-six billion, four hundred thirty-two million, six hundred thirty-one thousand, five hundred twenty".