85874379966 has 12 divisors (see below), whose sum is σ = 186061156632. Its totient is φ = 28624793316.

The previous prime is 85874379883. The next prime is 85874379973. The reversal of 85874379966 is 66997347858.

85874379966 is a `hidden beast` number, since 8 + 587 + 4 + 37 + 9 + 9 + 6 + 6 = 666.

It is a super-2 number, since 2×85874379966² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85874379894 and 85874379903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2385399426 + ... + 2385399461.

It is an arithmetic number, because the mean of its divisors is an integer number (15505096386).

Almost surely, 2^85874379966 is an apocalyptic number.

85874379966 is an abundant number, since it is smaller than the sum of its proper divisors (100186776666).

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

85874379966 is a wasteful number, since it uses less digits than its factorization.

85874379966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4770798895 (or 4770798892 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 85874379966 in words is "eighty-five billion, eight hundred seventy-four million, three hundred seventy-nine thousand, nine hundred sixty-six".