84059984760 has 256 divisors, whose sum is σ = 263391436800. Its totient is φ = 21442516992.

The previous prime is 84059984759. The next prime is 84059984831. The reversal of 84059984760 is 6748995048.

It is a Cunningham number, because it is equal to 289931²-1.

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

It is a junction number, because it is equal to n+sod(n) for n = 84059984694 and 84059984703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128728594 + ... + 128729246.

It is an arithmetic number, because the mean of its divisors is an integer number (1028872800).

Almost surely, 2^84059984760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84059984760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131695718400).

84059984760 is an abundant number, since it is smaller than the sum of its proper divisors (179331452040).

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

84059984760 is a wasteful number, since it uses less digits than its factorization.

84059984760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 84059984760 in words is "eighty-four billion, fifty-nine million, nine hundred eighty-four thousand, seven hundred sixty".