256120634016 has 480 divisors, whose sum is σ = 886670281728. Its totient is φ = 71773102080.

The previous prime is 256120634009. The next prime is 256120634039. The reversal of 256120634016 is 610436021652.

256120634016 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 2 + 0 + 634 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17750581 + ... + 17765003.

Almost surely, 2^256120634016 is an apocalyptic number.

256120634016 is a gapful number since it is divisible by the number (26) 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 256120634016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443335140864).

256120634016 is an abundant number, since it is smaller than the sum of its proper divisors (630549647712).

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

256120634016 is a wasteful number, since it uses less digits than its factorization.

256120634016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14506 (or 14489 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 256120634016 its reverse (610436021652), we get a palindrome (866556655668).

The spelling of 256120634016 in words is "two hundred fifty-six billion, one hundred twenty million, six hundred thirty-four thousand, sixteen".