255272054400 has 1728 divisors, whose sum is σ = 1102166956800. Its totient is φ = 55959552000.

The previous prime is 255272054371. The next prime is 255272054407. The reversal of 255272054400 is 4450272552.

255272054400 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 7 + 205 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (255272054407) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1836489531 + ... + 1836489669.

It is an arithmetic number, because the mean of its divisors is an integer number (637828100).

Almost surely, 2^255272054400 is an apocalyptic number.

255272054400 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 255272054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551083478400).

255272054400 is an abundant number, since it is smaller than the sum of its proper divisors (846894902400).

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

255272054400 is a wasteful number, since it uses less digits than its factorization.

255272054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The spelling of 255272054400 in words is "two hundred fifty-five billion, two hundred seventy-two million, fifty-four thousand, four hundred".