84870364517280 has 144 divisors (see below), whose sum is σ = 290292093471744. Its totient is φ = 22579586373120.

The previous prime is 84870364517251. The next prime is 84870364517303. The reversal of 84870364517280 is 8271546307848.

It is a happy number.

84870364517280 is a `hidden beast` number, since 8 + 4 + 8 + 7 + 0 + 36 + 4 + 517 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 67752624 + ... + 68993903.

It is an arithmetic number, because the mean of its divisors is an integer number (2015917315776).

Almost surely, 2^{84870364517280} is an apocalyptic number.

84870364517280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84870364517280 is an abundant number, since it is smaller than the sum of its proper divisors (205421728954464).

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

84870364517280 is a wasteful number, since it uses less digits than its factorization.

84870364517280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136746979 (or 136746968 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 84870364517280 in words is "eighty-four trillion, eight hundred seventy billion, three hundred sixty-four million, five hundred seventeen thousand, two hundred eighty".