255484756800 has 2352 divisors, whose sum is σ = 1214518515840. Its totient is φ = 51418644480.

The previous prime is 255484756729. The next prime is 255484756811. The reversal of 255484756800 is 8657484552.

255484756800 is a `hidden beast` number, since 2 + 5 + 548 + 47 + 56 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3078129559 + ... + 3078129641.

It is an arithmetic number, because the mean of its divisors is an integer number (516376920).

Almost surely, 2^255484756800 is an apocalyptic number.

255484756800 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 255484756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607259257920).

255484756800 is an abundant number, since it is smaller than the sum of its proper divisors (959033759040).

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

255484756800 is a wasteful number, since it uses less digits than its factorization.

255484756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 255484756800 in words is "two hundred fifty-five billion, four hundred eighty-four million, seven hundred fifty-six thousand, eight hundred".