255712262400 has 1215 divisors, whose sum is σ = 1091917104369. Its totient is φ = 57089249280.

The previous prime is 255712262383. The next prime is 255712262461. The reversal of 255712262400 is 4262217552.

The square root of 255712262400 is 505680.

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

255712262400 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 1 + 22 + 624 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92056414464 + 163655847936 = 303408^2 + 404544^2 .

It is a super-2 number, since 2×255712262400² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5946796779 + ... + 5946796821.

Almost surely, 2^255712262400 is an apocalyptic number.

255712262400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

255712262400 is the 505680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255712262400

255712262400 is an abundant number, since it is smaller than the sum of its proper divisors (836204841969).

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

255712262400 is an frugal number, since it uses more digits than its factorization.

255712262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Multiplying 255712262400 by its sum of digits (36), we get a square (9205641446400 = 3034080²).

255712262400 divided by its sum of digits (36) gives a square (7103118400 = 84280²).

Adding to 255712262400 its reverse (4262217552), we get a palindrome (259974479952).

The spelling of 255712262400 in words is "two hundred fifty-five billion, seven hundred twelve million, two hundred sixty-two thousand, four hundred".