87587586304 has 81 divisors (see below), whose sum is σ = 178706057943. Its totient is φ = 42844379136.

The previous prime is 87587586263. The next prime is 87587586319. The reversal of 87587586304 is 40368578578.

The square root of 87587586304 is 295952.

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 18127929600 + 69459656704 = 134640^2 + 263552^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 250967122 + ... + 250967470.

Almost surely, 2^87587586304 is an apocalyptic number.

87587586304 is the 295952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87587586304

87587586304 is an abundant number, since it is smaller than the sum of its proper divisors (91118471639).

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

87587586304 is an frugal number, since it uses more digits than its factorization.

87587586304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 61.

The spelling of 87587586304 in words is "eighty-seven billion, five hundred eighty-seven million, five hundred eighty-six thousand, three hundred four".