87126509584 has 45 divisors (see below), whose sum is σ = 170622541047. Its totient is φ = 43099834752.

The previous prime is 87126509551. The next prime is 87126509627. The reversal of 87126509584 is 48590562178.

It is a happy number.

The square root of 87126509584 is 295172.

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 54391568400 + 32734941184 = 233220^2 + 180928^2 .

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, 128694654 + ... + 128695330.

Almost surely, 2^87126509584 is an apocalyptic number.

87126509584 is the 295172-nd square number.

It is an amenable number.

87126509584 is a deficient number, since it is larger than the sum of its proper divisors (83496031463).

87126509584 is an frugal number, since it uses more digits than its factorization.

87126509584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 87126509584 in words is "eighty-seven billion, one hundred twenty-six million, five hundred nine thousand, five hundred eighty-four".