85119775776 has 384 divisors, whose sum is σ = 291232972800. Its totient is φ = 23684935680.

The previous prime is 85119775759. The next prime is 85119775801. The reversal of 85119775776 is 67757791158.

85119775776 is a `hidden beast` number, since 8 + 51 + 1 + 9 + 7 + 7 + 577 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 40320961 + ... + 40323071.

It is an arithmetic number, because the mean of its divisors is an integer number (758419200).

Almost surely, 2^85119775776 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 85119775776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145616486400).

85119775776 is an abundant number, since it is smaller than the sum of its proper divisors (206113197024).

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

85119775776 is a wasteful number, since it uses less digits than its factorization.

85119775776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2295 counting only the distinct ones).

The product of its digits is 25930800, while the sum is 63.

The spelling of 85119775776 in words is "eighty-five billion, one hundred nineteen million, seven hundred seventy-five thousand, seven hundred seventy-six".