87590853120 has 80 divisors (see below), whose sum is σ = 280017033120. Its totient is φ = 23357558784.

The previous prime is 87590853079. The next prime is 87590853169. The reversal of 87590853120 is 2135809578.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 87590853120.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5694850 + ... + 5710209.

It is an arithmetic number, because the mean of its divisors is an integer number (3500212914).

Almost surely, 2^87590853120 is an apocalyptic number.

87590853120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87590853120 is an abundant number, since it is smaller than the sum of its proper divisors (192426180000).

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

87590853120 is a wasteful number, since it uses less digits than its factorization.

87590853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11405085 (or 11405069 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 87590853120 in words is "eighty-seven billion, five hundred ninety million, eight hundred fifty-three thousand, one hundred twenty".