42588576900 has 135 divisors (see below), whose sum is σ = 138115574751. Its totient is φ = 11352000960.

The previous prime is 42588576889. The next prime is 42588576913. The reversal of 42588576900 is 967588524.

The square root of 42588576900 is 206370.

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

42588576900 is a `hidden beast` number, since 4 + 2 + 588 + 57 + 6 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5243787396 + 37344789504 = 72414^2 + 193248^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×42588576900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 44 ways as a sum of consecutive naturals, for example, 18572154 + ... + 18574446.

Almost surely, 2^42588576900 is an apocalyptic number.

42588576900 is the 206370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42588576900

42588576900 is an abundant number, since it is smaller than the sum of its proper divisors (95526997851).

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

42588576900 is an equidigital number, since it uses as much as digits as its factorization.

42588576900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 42588576900 in words is "forty-two billion, five hundred eighty-eight million, five hundred seventy-six thousand, nine hundred".