256112363520 has 576 divisors, whose sum is σ = 1006320369600. Its totient is φ = 59719680000.

The previous prime is 256112363513. The next prime is 256112363561. The reversal of 256112363520 is 25363211652.

256112363520 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 12 + 3 + 635 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 22757895 + ... + 22769145.

It is an arithmetic number, because the mean of its divisors is an integer number (1747083975).

Almost surely, 2^256112363520 is an apocalyptic number.

256112363520 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 256112363520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503160184800).

256112363520 is an abundant number, since it is smaller than the sum of its proper divisors (750208006080).

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

256112363520 is a wasteful number, since it uses less digits than its factorization.

256112363520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11316 (or 11293 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 256112363520 in words is "two hundred fifty-six billion, one hundred twelve million, three hundred sixty-three thousand, five hundred twenty".