256913434460160 has 360 divisors, whose sum is σ = 890870099320656. Its totient is φ = 68489938206720.

The previous prime is 256913434460149. The next prime is 256913434460171. The reversal of 256913434460160 is 61064434319652.

256913434460160 is a `hidden beast` number, since 2 + 5 + 6 + 9 + 1 + 3 + 434 + 46 + 0 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (256913434460149) and next prime (256913434460171).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×256913434460160² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256913434460097 and 256913434460106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2573794572 + ... + 2573894388.

Almost surely, 2^{256913434460160} is an apocalyptic number.

256913434460160 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 256913434460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445435049660328).

256913434460160 is an abundant number, since it is smaller than the sum of its proper divisors (633956664860496).

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

256913434460160 is an equidigital number, since it uses as much as digits as its factorization.

256913434460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103347 (or 103318 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 256913434460160 in words is "two hundred fifty-six trillion, nine hundred thirteen billion, four hundred thirty-four million, four hundred sixty thousand, one hundred sixty".