85164119964 has 288 divisors, whose sum is σ = 280868829696. Its totient is φ = 21115261440.

The previous prime is 85164119959. The next prime is 85164119983. The reversal of 85164119964 is 46991146158.

85164119964 is a `hidden beast` number, since 8 + 516 + 4 + 119 + 9 + 6 + 4 = 666.

It is a super-2 number, since 2×85164119964² (a number of 23 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 85164119964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5428059 + ... + 5443725.

It is an arithmetic number, because the mean of its divisors is an integer number (975238992).

Almost surely, 2^85164119964 is an apocalyptic number.

85164119964 is a gapful number since it is divisible by the number (84) 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 85164119964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140434414848).

85164119964 is an abundant number, since it is smaller than the sum of its proper divisors (195704709732).

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

85164119964 is a wasteful number, since it uses less digits than its factorization.

85164119964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15785 (or 15780 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 85164119964 in words is "eighty-five billion, one hundred sixty-four million, one hundred nineteen thousand, nine hundred sixty-four".