256355689752162 has 1536 divisors, whose sum is σ = 842432879001600. Its totient is φ = 55895436979200.

The previous prime is 256355689752157. The next prime is 256355689752163. The reversal of 256355689752162 is 261257986553652.

256355689752162 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 5 + 5 + 6 + 8 + 97 + 521 + 6 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (256355689752163) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 52564215268 + ... + 52564220144.

It is an arithmetic number, because the mean of its divisors is an integer number (548458905600).

Almost surely, 2^{256355689752162} is an apocalyptic number.

256355689752162 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 256355689752162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421216439500800).

256355689752162 is an abundant number, since it is smaller than the sum of its proper divisors (586077189249438).

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

256355689752162 is a wasteful number, since it uses less digits than its factorization.

256355689752162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109 (or 5090 counting only the distinct ones).

The product of its digits is 1632960000, while the sum is 72.

The spelling of 256355689752162 in words is "two hundred fifty-six trillion, three hundred fifty-five billion, six hundred eighty-nine million, seven hundred fifty-two thousand, one hundred sixty-two".