84918309960 has 256 divisors, whose sum is σ = 282924472320. Its totient is φ = 20217600000.

The previous prime is 84918309953. The next prime is 84918310031. The reversal of 84918309960 is 6990381948.

It is a super-2 number, since 2×84918309960² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84918309960.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24184605 + ... + 24188115.

It is an arithmetic number, because the mean of its divisors is an integer number (1105173720).

Almost surely, 2^84918309960 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 84918309960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141462236160).

84918309960 is an abundant number, since it is smaller than the sum of its proper divisors (198006162360).

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

84918309960 is a wasteful number, since it uses less digits than its factorization.

84918309960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3860 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 84918309960 in words is "eighty-four billion, nine hundred eighteen million, three hundred nine thousand, nine hundred sixty".