255499920900 has 729 divisors, whose sum is σ = 976597845951. Its totient is φ = 55706837760.

The previous prime is 255499920881. The next prime is 255499920931. The reversal of 255499920900 is 9029994552.

The square root of 255499920900 is 505470.

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

255499920900 is a `hidden beast` number, since 2 + 5 + 549 + 9 + 9 + 2 + 0 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3511984644 + 251987936256 = 59262^2 + 501984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3078312259 + ... + 3078312341.

Almost surely, 2^255499920900 is an apocalyptic number.

255499920900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

255499920900 is the 505470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255499920900

255499920900 is an abundant number, since it is smaller than the sum of its proper divisors (721097925051).

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

255499920900 is a wasteful number, since it uses less digits than its factorization.

255499920900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 255499920900 in words is "two hundred fifty-five billion, four hundred ninety-nine million, nine hundred twenty thousand, nine hundred".