256500361656504 has 144 divisors (see below), whose sum is σ = 808344234828000. Its totient is φ = 73264303816704.

The previous prime is 256500361656503. The next prime is 256500361656523. The reversal of 256500361656504 is 405656163005652.

256500361656504 is a `hidden beast` number, since 2 + 5 + 6 + 50 + 0 + 36 + 1 + 6 + 56 + 504 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256500361656503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1350072 + ... + 22689720.

It is an arithmetic number, because the mean of its divisors is an integer number (5613501630750).

Almost surely, 2^{256500361656504} is an apocalyptic number.

256500361656504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256500361656504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404172117414000).

256500361656504 is an abundant number, since it is smaller than the sum of its proper divisors (551843873171496).

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

256500361656504 is a wasteful number, since it uses less digits than its factorization.

256500361656504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21343082 (or 21343068 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 256500361656504 in words is "two hundred fifty-six trillion, five hundred billion, three hundred sixty-one million, six hundred fifty-six thousand, five hundred four".