87321991680 has 960 divisors, whose sum is σ = 391222960128. Its totient is φ = 18134876160.

The previous prime is 87321991667. The next prime is 87321991717. The reversal of 87321991680 is 8619912378.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47899249 + ... + 47901071.

Almost surely, 2^87321991680 is an apocalyptic number.

87321991680 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 87321991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195611480064).

87321991680 is an abundant number, since it is smaller than the sum of its proper divisors (303900968448).

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

87321991680 is a wasteful number, since it uses less digits than its factorization.

87321991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 87321991680 in words is "eighty-seven billion, three hundred twenty-one million, nine hundred ninety-one thousand, six hundred eighty".