85184578864 has 120 divisors (see below), whose sum is σ = 207600636320. Its totient is φ = 33145390080.

The previous prime is 85184578837. The next prime is 85184578909. The reversal of 85184578864 is 46887548158.

It is a junction number, because it is equal to n+sod(n) for n = 85184578796 and 85184578805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11556172 + ... + 11563540.

Almost surely, 2^85184578864 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 85184578864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103800318160).

85184578864 is an abundant number, since it is smaller than the sum of its proper divisors (122416057456).

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

85184578864 is a wasteful number, since it uses less digits than its factorization.

85184578864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259 (or 8242 counting only the distinct ones).

The product of its digits is 68812800, while the sum is 64.

The spelling of 85184578864 in words is "eighty-five billion, one hundred eighty-four million, five hundred seventy-eight thousand, eight hundred sixty-four".