256660814592000 has 8064 divisors, whose sum is σ = 1283760570193920. Its totient is φ = 50565847449600.

The previous prime is 256660814591963. The next prime is 256660814592047. The reversal of 256660814592000 is 295418066652.

It is a tau number, because it is divible by the number of its divisors (8064).

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 671 ways as a sum of consecutive naturals, for example, 2020951295937 + ... + 2020951296063.

It is an arithmetic number, because the mean of its divisors is an integer number (159196499280).

Almost surely, 2^{256660814592000} is an apocalyptic number.

256660814592000 is a gapful number since it is divisible by the number (20) 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 256660814592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641880285096960).

256660814592000 is an abundant number, since it is smaller than the sum of its proper divisors (1027099755601920).

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

256660814592000 is a wasteful number, since it uses less digits than its factorization.

256660814592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 256660814592000 in words is "two hundred fifty-six trillion, six hundred sixty billion, eight hundred fourteen million, five hundred ninety-two thousand".