87537873424 has 135 divisors (see below), whose sum is σ = 190983834567. Its totient is φ = 38855752704.

The previous prime is 87537873419. The next prime is 87537873433. The reversal of 87537873424 is 42437873578.

The square root of 87537873424 is 295868.

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

It can be written as a sum of positive squares in 4 ways, for example, as 46423011600 + 41114861824 = 215460^2 + 202768^2 .

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, 382261342 + ... + 382261570.

Almost surely, 2^87537873424 is an apocalyptic number.

87537873424 is the 295868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87537873424

87537873424 is an abundant number, since it is smaller than the sum of its proper divisors (103445961143).

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

87537873424 is a wasteful number, since it uses less digits than its factorization.

87537873424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 267 counting only the distinct ones).

The product of its digits is 31610880, while the sum is 58.

The spelling of 87537873424 in words is "eighty-seven billion, five hundred thirty-seven million, eight hundred seventy-three thousand, four hundred twenty-four".