256710312540 has 144 divisors (see below), whose sum is σ = 899447159520. Its totient is φ = 58572042240.

The previous prime is 256710312527. The next prime is 256710312541. The reversal of 256710312540 is 45213017652.

256710312540 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 103 + 1 + 2 + 540 = 666.

256710312540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 256710312495 and 256710312504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256710312541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3779625 + ... + 3846944.

It is an arithmetic number, because the mean of its divisors is an integer number (6246160830).

Almost surely, 2^256710312540 is an apocalyptic number.

256710312540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256710312540 is an abundant number, since it is smaller than the sum of its proper divisors (642736846980).

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

256710312540 is a wasteful number, since it uses less digits than its factorization.

256710312540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7626612 (or 7626607 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 256710312540 in words is "two hundred fifty-six billion, seven hundred ten million, three hundred twelve thousand, five hundred forty".