87900331680 has 1728 divisors, whose sum is σ = 393392039040. Its totient is φ = 18435465216.

The previous prime is 87900331679. The next prime is 87900331741. The reversal of 87900331680 is 8613300978.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2044193739 + ... + 2044193781.

It is an arithmetic number, because the mean of its divisors is an integer number (227657430).

Almost surely, 2^87900331680 is an apocalyptic number.

87900331680 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 87900331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196696019520).

87900331680 is an abundant number, since it is smaller than the sum of its proper divisors (305491707360).

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

87900331680 is a wasteful number, since it uses less digits than its factorization.

87900331680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 87900331680 in words is "eighty-seven billion, nine hundred million, three hundred thirty-one thousand, six hundred eighty".