87577540992 has 96 divisors (see below), whose sum is σ = 257375645280. Its totient is φ = 28571378688.

The previous prime is 87577540991. The next prime is 87577541027. The reversal of 87577540992 is 29904577578.

87577540992 is a `hidden beast` number, since 8 + 7 + 577 + 54 + 0 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87577540991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 754603 + ... + 862890.

It is an arithmetic number, because the mean of its divisors is an integer number (2680996305).

Almost surely, 2^87577540992 is an apocalyptic number.

It is an amenable number.

87577540992 is an abundant number, since it is smaller than the sum of its proper divisors (169798104288).

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

87577540992 is a wasteful number, since it uses less digits than its factorization.

87577540992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617560 (or 1617545 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 87577540992 in words is "eighty-seven billion, five hundred seventy-seven million, five hundred forty thousand, nine hundred ninety-two".