256161616800768 has 264 divisors, whose sum is σ = 846093606179328. Its totient is φ = 73122658541568.

The previous prime is 256161616800751. The next prime is 256161616800779. The reversal of 256161616800768 is 867008616161652.

256161616800768 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 6 + 1 + 616 + 8 + 0 + 0 + 7 + 6 + 8 = 666.

It is a super-4 number, since 4×256161616800768⁴ (a number of 59 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69356755 + ... + 72956717.

Almost surely, 2^{256161616800768} is an apocalyptic number.

256161616800768 is a gapful number since it is divisible by the number (28) 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 256161616800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423046803089664).

256161616800768 is an abundant number, since it is smaller than the sum of its proper divisors (589931989378560).

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

256161616800768 is a wasteful number, since it uses less digits than its factorization.

256161616800768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601099 (or 3601078 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 256161616800768 in words is "two hundred fifty-six trillion, one hundred sixty-one billion, six hundred sixteen million, eight hundred thousand, seven hundred sixty-eight".