256753056251560 has 256 divisors, whose sum is σ = 637129505341440. Its totient is φ = 92344898257920.

The previous prime is 256753056251543. The next prime is 256753056251561. The reversal of 256753056251560 is 65152650357652.

It is a junction number, because it is equal to n+sod(n) for n = 256753056251495 and 256753056251504.

It is not an unprimeable number, because it can be changed into a prime (256753056251561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27676297642 + ... + 27676306918.

It is an arithmetic number, because the mean of its divisors is an integer number (2488787130240).

Almost surely, 2^{256753056251560} is an apocalyptic number.

256753056251560 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 256753056251560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318564752670720).

256753056251560 is an abundant number, since it is smaller than the sum of its proper divisors (380376449089880).

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

256753056251560 is a wasteful number, since it uses less digits than its factorization.

256753056251560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10896 (or 10892 counting only the distinct ones).

The product of its (nonzero) digits is 56700000, while the sum is 58.

The spelling of 256753056251560 in words is "two hundred fifty-six trillion, seven hundred fifty-three billion, fifty-six million, two hundred fifty-one thousand, five hundred sixty".