84987918720 has 96 divisors (see below), whose sum is σ = 293473926720. Its totient is φ = 22663443456.

The previous prime is 84987918703. The next prime is 84987918721. The reversal of 84987918720 is 2781978948.

84987918720 is a `hidden beast` number, since 8 + 498 + 79 + 1 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84987918721) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7371664 + ... + 7383183.

It is an arithmetic number, because the mean of its divisors is an integer number (3057020070).

Almost surely, 2^84987918720 is an apocalyptic number.

84987918720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84987918720 is an abundant number, since it is smaller than the sum of its proper divisors (208486008000).

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

84987918720 is a wasteful number, since it uses less digits than its factorization.

84987918720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14754872 (or 14754857 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 84987918720 in words is "eighty-four billion, nine hundred eighty-seven million, nine hundred eighteen thousand, seven hundred twenty".