87922016931840 has 3120 divisors, whose sum is σ = 375944951789568. Its totient is φ = 17435853324288.

The previous prime is 87922016931817. The next prime is 87922016931857. The reversal of 87922016931840 is 4813961022978.

87922016931840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3120).

It is a super-2 number, since 2×87922016931840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 692299345857 + ... + 692299345983.

Almost surely, 2^{87922016931840} is an apocalyptic number.

87922016931840 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 87922016931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187972475894784).

87922016931840 is an abundant number, since it is smaller than the sum of its proper divisors (288022934857728).

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

87922016931840 is a wasteful number, since it uses less digits than its factorization.

87922016931840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 87922016931840 in words is "eighty-seven trillion, nine hundred twenty-two billion, sixteen million, nine hundred thirty-one thousand, eight hundred forty".