256411653504 has 64 divisors (see below), whose sum is σ = 682396271040. Its totient is φ = 85307060736.

The previous prime is 256411653499. The next prime is 256411653523. The reversal of 256411653504 is 405356114652.

256411653504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437542 + ... + 839205.

It is an arithmetic number, because the mean of its divisors is an integer number (10662441735).

Almost surely, 2^256411653504 is an apocalyptic number.

256411653504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256411653504 is an abundant number, since it is smaller than the sum of its proper divisors (425984617536).

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

256411653504 is a wasteful number, since it uses less digits than its factorization.

256411653504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277287 (or 1277275 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 256411653504 in words is "two hundred fifty-six billion, four hundred eleven million, six hundred fifty-three thousand, five hundred four".