85109980999680 has 624 divisors, whose sum is σ = 363091662373440. Its totient is φ = 17957267177472.

The previous prime is 85109980999679. The next prime is 85109980999711. The reversal of 85109980999680 is 8699908990158.

85109980999680 is a `hidden beast` number, since 8 + 510 + 9 + 9 + 8 + 0 + 9 + 9 + 96 + 8 + 0 = 666.

85109980999680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×85109980999680² (a number of 29 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 85109980999680.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14236026 + ... + 19310214.

It is an arithmetic number, because the mean of its divisors is an integer number (581877664060).

Almost surely, 2^{85109980999680} is an apocalyptic number.

85109980999680 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 85109980999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181545831186720).

85109980999680 is an abundant number, since it is smaller than the sum of its proper divisors (277981681373760).

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

85109980999680 is a wasteful number, since it uses less digits than its factorization.

85109980999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5074244 (or 5074219 counting only the distinct ones).

The product of its (nonzero) digits is 906992640, while the sum is 81.

The spelling of 85109980999680 in words is "eighty-five trillion, one hundred nine billion, nine hundred eighty million, nine hundred ninety-nine thousand, six hundred eighty".