256156084800 has 2520 divisors, whose sum is σ = 1264266447840. Its totient is φ = 50164531200.

The previous prime is 256156084727. The next prime is 256156084801. The reversal of 256156084800 is 8480651652.

256156084800 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 560 + 8 + 4 + 80 + 0 = 666.

256156084800 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 (2520).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256156084801) by changing a digit.

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 359 ways as a sum of consecutive naturals, for example, 1327233504 + ... + 1327233696.

Almost surely, 2^256156084800 is an apocalyptic number.

256156084800 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 256156084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632133223920).

256156084800 is an abundant number, since it is smaller than the sum of its proper divisors (1008110363040).

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

256156084800 is a wasteful number, since it uses less digits than its factorization.

256156084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 256156084800 in words is "two hundred fifty-six billion, one hundred fifty-six million, eighty-four thousand, eight hundred".