256457728800 has 2592 divisors, whose sum is σ = 1248041995200. Its totient is φ = 50791587840.

The previous prime is 256457728783. The next prime is 256457728817. The reversal of 256457728800 is 8827754652.

256457728800 is a `hidden beast` number, since 2 + 5 + 64 + 577 + 2 + 8 + 8 + 0 + 0 = 666.

256457728800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256457728783) and next prime (256457728817).

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×256457728800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2352823146 + ... + 2352823254.

Almost surely, 2^256457728800 is an apocalyptic number.

256457728800 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 256457728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624020997600).

256457728800 is an abundant number, since it is smaller than the sum of its proper divisors (991584266400).

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

256457728800 is a wasteful number, since it uses less digits than its factorization.

256457728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 256457728800 in words is "two hundred fifty-six billion, four hundred fifty-seven million, seven hundred twenty-eight thousand, eight hundred".