256116774690 has 160 divisors (see below), whose sum is σ = 794017952640. Its totient is φ = 58022770176.

The previous prime is 256116774679. The next prime is 256116774691. The reversal of 256116774690 is 96477611652.

256116774690 is a `hidden beast` number, since 2 + 561 + 1 + 6 + 7 + 74 + 6 + 9 + 0 = 666.

It is a super-2 number, since 2×256116774690² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (256116774691) 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 79 ways as a sum of consecutive naturals, for example, 440841 + ... + 840579.

It is an arithmetic number, because the mean of its divisors is an integer number (4962612204).

Almost surely, 2^256116774690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256116774690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397008976320).

256116774690 is an abundant number, since it is smaller than the sum of its proper divisors (537901177950).

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

256116774690 is a wasteful number, since it uses less digits than its factorization.

256116774690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399878 (or 399869 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 256116774690 in words is "two hundred fifty-six billion, one hundred sixteen million, seven hundred seventy-four thousand, six hundred ninety".