255894724800 has 1344 divisors, whose sum is σ = 1144196766720. Its totient is φ = 54743040000.

The previous prime is 255894724769. The next prime is 255894724801. The reversal of 255894724800 is 8427498552.

255894724800 is a `hidden beast` number, since 2 + 5 + 5 + 8 + 94 + 72 + 480 + 0 = 666.

It is a super-2 number, since 2×255894724800² (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 not an unprimeable number, because it can be changed into a prime (255894724801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142083900 + ... + 142085700.

It is an arithmetic number, because the mean of its divisors is an integer number (851336880).

Almost surely, 2^255894724800 is an apocalyptic number.

255894724800 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 255894724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572098383360).

255894724800 is an abundant number, since it is smaller than the sum of its proper divisors (888302041920).

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

255894724800 is a wasteful number, since it uses less digits than its factorization.

255894724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 255894724800 in words is "two hundred fifty-five billion, eight hundred ninety-four million, seven hundred twenty-four thousand, eight hundred".