256061636712 has 672 divisors, whose sum is σ = 895025445600. Its totient is φ = 65868380928.

The previous prime is 256061636687. The next prime is 256061636729. The reversal of 256061636712 is 217636160652.

256061636712 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 6 + 1 + 636 + 7 + 1 + 2 = 666.

256061636712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5954921763 + ... + 5954921805.

Almost surely, 2^256061636712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256061636712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447512722800).

256061636712 is an abundant number, since it is smaller than the sum of its proper divisors (638963808888).

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

256061636712 is an equidigital number, since it uses as much as digits as its factorization.

256061636712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 256061636712 in words is "two hundred fifty-six billion, sixty-one million, six hundred thirty-six thousand, seven hundred twelve".