85205913984 has 160 divisors (see below), whose sum is σ = 259757384040. Its totient is φ = 27709102080.

The previous prime is 85205913913. The next prime is 85205914007. The reversal of 85205913984 is 48931950258.

85205913984 is a `hidden beast` number, since 8 + 520 + 5 + 9 + 1 + 39 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 85205913984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 324867 + ... + 525309.

Almost surely, 2^85205913984 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 85205913984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129878692020).

85205913984 is an abundant number, since it is smaller than the sum of its proper divisors (174551470056).

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

85205913984 is a wasteful number, since it uses less digits than its factorization.

85205913984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200510 (or 200489 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 85205913984 in words is "eighty-five billion, two hundred five million, nine hundred thirteen thousand, nine hundred eighty-four".