255751372800 has 2160 divisors, whose sum is σ = 1232194384512. Its totient is φ = 49073356800.

The previous prime is 255751372777. The next prime is 255751372819. The reversal of 255751372800 is 8273157552.

255751372800 is a `hidden beast` number, since 2 + 5 + 57 + 513 + 7 + 2 + 80 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 4825497574 + ... + 4825497626.

Almost surely, 2^255751372800 is an apocalyptic number.

255751372800 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 255751372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616097192256).

255751372800 is an abundant number, since it is smaller than the sum of its proper divisors (976443011712).

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

255751372800 is a wasteful number, since it uses less digits than its factorization.

255751372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 255751372800 in words is "two hundred fifty-five billion, seven hundred fifty-one million, three hundred seventy-two thousand, eight hundred".