256154614615680 has 512 divisors, whose sum is σ = 903044176070400. Its totient is φ = 61754893516800.

The previous prime is 256154614615661. The next prime is 256154614615681. The reversal of 256154614615680 is 86516416451652.

256154614615680 is digitally balanced in base 2, 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 (60).

It is not an unprimeable number, because it can be changed into a prime (256154614615681) 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, 462272226 + ... + 462826014.

Almost surely, 2^{256154614615680} is an apocalyptic number.

256154614615680 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 256154614615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451522088035200).

256154614615680 is an abundant number, since it is smaller than the sum of its proper divisors (646889561454720).

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

256154614615680 is a wasteful number, since it uses less digits than its factorization.

256154614615680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554025 (or 553991 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 60.

The spelling of 256154614615680 in words is "two hundred fifty-six trillion, one hundred fifty-four billion, six hundred fourteen million, six hundred fifteen thousand, six hundred eighty".