256178630160 has 240 divisors, whose sum is σ = 873509966784. Its totient is φ = 67273356288.

The previous prime is 256178630137. The next prime is 256178630173. The reversal of 256178630160 is 61036871652.

256178630160 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 7 + 8 + 630 + 1 + 6 + 0 = 666.

256178630160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 18937159 + ... + 18950681.

Almost surely, 2^256178630160 is an apocalyptic number.

256178630160 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 256178630160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436754983392).

256178630160 is an abundant number, since it is smaller than the sum of its proper divisors (617331336624).

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

256178630160 is a wasteful number, since it uses less digits than its factorization.

256178630160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13942 (or 13933 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 256178630160 in words is "two hundred fifty-six billion, one hundred seventy-eight million, six hundred thirty thousand, one hundred sixty".