84012112560 has 160 divisors (see below), whose sum is σ = 262175951808. Its totient is φ = 22254059520.

The previous prime is 84012112559. The next prime is 84012112601. The reversal of 84012112560 is 6521121048.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 61188034 + ... + 61189406.

Almost surely, 2^84012112560 is an apocalyptic number.

84012112560 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 84012112560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131087975904).

84012112560 is an abundant number, since it is smaller than the sum of its proper divisors (178163839248).

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

84012112560 is a wasteful number, since it uses less digits than its factorization.

84012112560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 84012112560 in words is "eighty-four billion, twelve million, one hundred twelve thousand, five hundred sixty".