85924320686568 has 192 divisors, whose sum is σ = 292259595264000. Its totient is φ = 22661359217280.

The previous prime is 85924320686557. The next prime is 85924320686569. The reversal of 85924320686568 is 86568602342958.

It is a happy number.

85924320686568 is a `hidden beast` number, since 8 + 5 + 9 + 24 + 32 + 0 + 6 + 8 + 6 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 85924320686496 and 85924320686505.

It is not an unprimeable number, because it can be changed into a prime (85924320686569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133497448 + ... + 134139543.

It is an arithmetic number, because the mean of its divisors is an integer number (1522185392000).

Almost surely, 2^{85924320686568} is an apocalyptic number.

It is an amenable number.

85924320686568 is an abundant number, since it is smaller than the sum of its proper divisors (206335274577432).

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

85924320686568 is a wasteful number, since it uses less digits than its factorization.

85924320686568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267637037 (or 267637016 counting only the distinct ones).

The product of its (nonzero) digits is 1194393600, while the sum is 72.

The spelling of 85924320686568 in words is "eighty-five trillion, nine hundred twenty-four billion, three hundred twenty million, six hundred eighty-six thousand, five hundred sixty-eight".