85160761675392 has 384 divisors, whose sum is σ = 249098131275840. Its totient is φ = 25625451331584.

The previous prime is 85160761675387. The next prime is 85160761675427. The reversal of 85160761675392 is 29357616706158.

85160761675392 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 (384).

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, 4389041563 + ... + 4389060965.

Almost surely, 2^{85160761675392} 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 85160761675392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124549065637920).

85160761675392 is an abundant number, since it is smaller than the sum of its proper divisors (163937369600448).

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

85160761675392 is a wasteful number, since it uses less digits than its factorization.

85160761675392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19852 (or 19787 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 66.

The spelling of 85160761675392 in words is "eighty-five trillion, one hundred sixty billion, seven hundred sixty-one million, six hundred seventy-five thousand, three hundred ninety-two".