256735116152272 has 80 divisors (see below), whose sum is σ = 529457180285952. Its totient is φ = 120180543549440.

The previous prime is 256735116152239. The next prime is 256735116152309. The reversal of 256735116152272 is 272251611537652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3323694483 + ... + 3323771725.

Almost surely, 2^{256735116152272} 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 256735116152272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264728590142976).

256735116152272 is an abundant number, since it is smaller than the sum of its proper divisors (272722064133680).

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

256735116152272 is a wasteful number, since it uses less digits than its factorization.

256735116152272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141436 (or 141430 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 55.

The spelling of 256735116152272 in words is "two hundred fifty-six trillion, seven hundred thirty-five billion, one hundred sixteen million, one hundred fifty-two thousand, two hundred seventy-two".