87921202320 has 240 divisors, whose sum is σ = 338066576640. Its totient is φ = 20059554816.

The previous prime is 87921202297. The next prime is 87921202331. The reversal of 87921202320 is 2320212978.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 2791621 + ... + 2822939.

It is an arithmetic number, because the mean of its divisors is an integer number (1408610736).

Almost surely, 2^87921202320 is an apocalyptic number.

87921202320 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 87921202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169033288320).

87921202320 is an abundant number, since it is smaller than the sum of its proper divisors (250145374320).

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

87921202320 is a wasteful number, since it uses less digits than its factorization.

87921202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31902 (or 31893 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 87921202320 in words is "eighty-seven billion, nine hundred twenty-one million, two hundred two thousand, three hundred twenty".