256753056251664 has 240 divisors, whose sum is σ = 857106804153600. Its totient is φ = 70152149827584.

The previous prime is 256753056251663. The next prime is 256753056251683. The reversal of 256753056251664 is 466152650357652.

256753056251664 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 5 + 3 + 0 + 56 + 2 + 516 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (256753056251663) 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, 98145132 + ... + 100727220.

It is an arithmetic number, because the mean of its divisors is an integer number (3571278350640).

Almost surely, 2^{256753056251664} is an apocalyptic number.

256753056251664 is a gapful number since it is divisible by the number (24) 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 256753056251664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428553402076800).

256753056251664 is an abundant number, since it is smaller than the sum of its proper divisors (600353747901936).

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

256753056251664 is a wasteful number, since it uses less digits than its factorization.

256753056251664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586422 (or 2586413 counting only the distinct ones).

The product of its (nonzero) digits is 272160000, while the sum is 63.

The spelling of 256753056251664 in words is "two hundred fifty-six trillion, seven hundred fifty-three billion, fifty-six million, two hundred fifty-one thousand, six hundred sixty-four".