84835557013680 has 120 divisors (see below), whose sum is σ = 310806631633680. Its totient is φ = 20566195637760.

The previous prime is 84835557013667. The next prime is 84835557013717. The reversal of 84835557013680 is 8631075553848.

84835557013680 is a `hidden beast` number, since 8 + 4 + 8 + 3 + 5 + 557 + 0 + 13 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5355772195 + ... + 5355788034.

It is an arithmetic number, because the mean of its divisors is an integer number (2590055263614).

Almost surely, 2^{84835557013680} is an apocalyptic number.

84835557013680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84835557013680 is an abundant number, since it is smaller than the sum of its proper divisors (225971074620000).

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

84835557013680 is a wasteful number, since it uses less digits than its factorization.

84835557013680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10711560259 (or 10711560250 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 84835557013680 in words is "eighty-four trillion, eight hundred thirty-five billion, five hundred fifty-seven million, thirteen thousand, six hundred eighty".