256330863360 has 2016 divisors, whose sum is σ = 1155257909568. Its totient is φ = 53508833280.

The previous prime is 256330863331. The next prime is 256330863407. The reversal of 256330863360 is 63368033652.

256330863360 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 3 + 0 + 8 + 633 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2268414664 + ... + 2268414776.

It is an arithmetic number, because the mean of its divisors is an integer number (573044598).

Almost surely, 2^256330863360 is an apocalyptic number.

256330863360 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 256330863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577628954784).

256330863360 is an abundant number, since it is smaller than the sum of its proper divisors (898927046208).

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

256330863360 is a wasteful number, since it uses less digits than its factorization.

256330863360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 256330863360 in words is "two hundred fifty-six billion, three hundred thirty million, eight hundred sixty-three thousand, three hundred sixty".