87535185088576 has 63 divisors (see below), whose sum is σ = 174498640555869. Its totient is φ = 43567934992128.

The previous prime is 87535185088553. The next prime is 87535185088601. The reversal of 87535185088576 is 67588058153578.

The square root of 87535185088576 is 9356024.

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

It can be written as a sum of positive squares in only one way, i.e., 81526019238976 + 6009165849600 = 9029176^2 + 2451360^2 .

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, 17140233415 + ... + 17140238521.

It is an arithmetic number, because the mean of its divisors is an integer number (2769819691363).

Almost surely, 2^{87535185088576} is an apocalyptic number.

87535185088576 is the 9356024-th square number.

It is an amenable number.

87535185088576 is a deficient number, since it is larger than the sum of its proper divisors (86963455467293).

87535185088576 is an frugal number, since it uses more digits than its factorization.

87535185088576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10684 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 2257920000, while the sum is 76.

The spelling of 87535185088576 in words is "eighty-seven trillion, five hundred thirty-five billion, one hundred eighty-five million, eighty-eight thousand, five hundred seventy-six".