4255267608900 has 2187 divisors, whose sum is σ = 18390185821917. Its totient is φ = 819851155200.

The previous prime is 4255267608871. The next prime is 4255267608941. The reversal of 4255267608900 is 98067625524.

The square root of 4255267608900 is 2062830.

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

4255267608900 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 26 + 7 + 608 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1531896339204 + 2723371269696 = 1237698^2 + 1650264^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 90537608677 + ... + 90537608723.

Almost surely, 2^{4255267608900} is an apocalyptic number.

4255267608900 is the 2062830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4255267608900

4255267608900 is an abundant number, since it is smaller than the sum of its proper divisors (14134918213017).

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

4255267608900 is a wasteful number, since it uses less digits than its factorization.

4255267608900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4255267608900 in words is "four trillion, two hundred fifty-five billion, two hundred sixty-seven million, six hundred eight thousand, nine hundred".