85979398099140 has 576 divisors, whose sum is σ = 345908886865920. Its totient is φ = 17555521858560.

The previous prime is 85979398099139. The next prime is 85979398099229. The reversal of 85979398099140 is 4199089397958.

85979398099140 is a `hidden beast` number, since 8 + 597 + 9 + 3 + 9 + 8 + 0 + 9 + 9 + 14 + 0 = 666.

85979398099140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 85979398099140.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6631854 + ... + 14694906.

It is an arithmetic number, because the mean of its divisors is an integer number (600536261920).

Almost surely, 2^{85979398099140} 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 85979398099140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172954443432960).

85979398099140 is an abundant number, since it is smaller than the sum of its proper divisors (259929488766780).

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

85979398099140 is a wasteful number, since it uses less digits than its factorization.

85979398099140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8063129 (or 8063114 counting only the distinct ones).

The product of its (nonzero) digits is 1587237120, while the sum is 81.

The spelling of 85979398099140 in words is "eighty-five trillion, nine hundred seventy-nine billion, three hundred ninety-eight million, ninety-nine thousand, one hundred forty".