87135088880 has 160 divisors (see below), whose sum is σ = 240133142400. Its totient is φ = 29384570880.

The previous prime is 87135088861. The next prime is 87135088891. The reversal of 87135088880 is 8888053178.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1647812 + ... + 1699868.

It is an arithmetic number, because the mean of its divisors is an integer number (1500832140).

Almost surely, 2^87135088880 is an apocalyptic number.

87135088880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87135088880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120066571200).

87135088880 is an abundant number, since it is smaller than the sum of its proper divisors (152998053520).

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

87135088880 is a wasteful number, since it uses less digits than its factorization.

87135088880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52152 (or 52132 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 56.

The spelling of 87135088880 in words is "eighty-seven billion, one hundred thirty-five million, eighty-eight thousand, eight hundred eighty".