256515747237260 has 144 divisors (see below), whose sum is σ = 628128440626176. Its totient is φ = 87738187275648.

The previous prime is 256515747237251. The next prime is 256515747237283. The reversal of 256515747237260 is 62732747515652.

It is a super-2 number, since 2×256515747237260² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256515747237193 and 256515747237202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3708823439 + ... + 3708892601.

It is an arithmetic number, because the mean of its divisors is an integer number (4362003059904).

Almost surely, 2^{256515747237260} is an apocalyptic number.

256515747237260 is a gapful number since it is divisible by the number (20) 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 256515747237260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314064220313088).

256515747237260 is an abundant number, since it is smaller than the sum of its proper divisors (371612693388916).

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

256515747237260 is a wasteful number, since it uses less digits than its factorization.

256515747237260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78172 (or 78163 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 62.

The spelling of 256515747237260 in words is "two hundred fifty-six trillion, five hundred fifteen billion, seven hundred forty-seven million, two hundred thirty-seven thousand, two hundred sixty".