256591112601600 has 2880 divisors, whose sum is σ = 1127392786802700. Its totient is φ = 57504159498240.

The previous prime is 256591112601557. The next prime is 256591112601631. The reversal of 256591112601600 is 6106211195652.

256591112601600 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 9 + 1 + 11 + 26 + 0 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 83181404307456 + 173409708294144 = 9120384^2 + 13168512^2 .

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×256591112601600² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 172324453656 + ... + 172324455144.

Almost surely, 2^{256591112601600} is an apocalyptic number.

256591112601600 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 256591112601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563696393401350).

256591112601600 is an abundant number, since it is smaller than the sum of its proper divisors (870801674201100).

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

256591112601600 is an equidigital number, since it uses as much as digits as its factorization.

256591112601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 256591112601600 in words is "two hundred fifty-six trillion, five hundred ninety-one billion, one hundred twelve million, six hundred one thousand, six hundred".