87520324188 has 144 divisors (see below), whose sum is σ = 249112080000. Its totient is φ = 23647288320.

The previous prime is 87520324187. The next prime is 87520324189. The reversal of 87520324188 is 88142302578.

It is an interprime number because it is at equal distance from previous prime (87520324187) and next prime (87520324189).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87520324187) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 664438 + ... + 785186.

It is an arithmetic number, because the mean of its divisors is an integer number (1729945000).

Almost surely, 2^87520324188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87520324188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124556040000).

87520324188 is an abundant number, since it is smaller than the sum of its proper divisors (161591755812).

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

87520324188 is a wasteful number, since it uses less digits than its factorization.

87520324188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120820 (or 120801 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 87520324188 in words is "eighty-seven billion, five hundred twenty million, three hundred twenty-four thousand, one hundred eighty-eight".