256601568487680 has 1152 divisors, whose sum is σ = 1045188383984640. Its totient is φ = 59054004633600.

The previous prime is 256601568487651. The next prime is 256601568487729. The reversal of 256601568487680 is 86784865106652.

256601568487680 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 0 + 1 + 5 + 68 + 487 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 256601568487599 and 256601568487608.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1153190514 + ... + 1153413006.

It is an arithmetic number, because the mean of its divisors is an integer number (907281583320).

Almost surely, 2^{256601568487680} is an apocalyptic number.

256601568487680 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 256601568487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522594191992320).

256601568487680 is an abundant number, since it is smaller than the sum of its proper divisors (788586815496960).

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

256601568487680 is a wasteful number, since it uses less digits than its factorization.

256601568487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222704 (or 222684 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 256601568487680 in words is "two hundred fifty-six trillion, six hundred one billion, five hundred sixty-eight million, four hundred eighty-seven thousand, six hundred eighty".