256848307560 has 896 divisors, whose sum is σ = 987603321600. Its totient is φ = 59615170560.

The previous prime is 256848307553. The next prime is 256848307571. The reversal of 256848307560 is 65703848652.

256848307560 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 48 + 30 + 7 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 256848307497 and 256848307506.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 775976595 + ... + 775976925.

It is an arithmetic number, because the mean of its divisors is an integer number (1102235850).

Almost surely, 2^256848307560 is an apocalyptic number.

256848307560 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 256848307560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493801660800).

256848307560 is an abundant number, since it is smaller than the sum of its proper divisors (730755014040).

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

256848307560 is a wasteful number, since it uses less digits than its factorization.

256848307560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 256848307560 in words is "two hundred fifty-six billion, eight hundred forty-eight million, three hundred seven thousand, five hundred sixty".