255752718400 has 189 divisors, whose sum is σ = 645385193479. Its totient is φ = 99752258560.

The previous prime is 255752718343. The next prime is 255752718443. The reversal of 255752718400 is 4817257552.

It is a happy number.

The square root of 255752718400 is 505720.

It is a perfect power (a square), and thus also a powerful number.

255752718400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 98099251264 + 157653467136 = 313208^2 + 397056^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 950753466 + ... + 950753734.

Almost surely, 2^255752718400 is an apocalyptic number.

255752718400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

255752718400 is the 505720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255752718400

255752718400 is an abundant number, since it is smaller than the sum of its proper divisors (389632475079).

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

255752718400 is an frugal number, since it uses more digits than its factorization.

255752718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 46.

The spelling of 255752718400 in words is "two hundred fifty-five billion, seven hundred fifty-two million, seven hundred eighteen thousand, four hundred".