85661324578944 has 448 divisors, whose sum is σ = 259161624310680. Its totient is φ = 28187987558400.

The previous prime is 85661324578933. The next prime is 85661324578969. The reversal of 85661324578944 is 44987542316658.

85661324578944 is a `hidden beast` number, since 8 + 5 + 6 + 6 + 1 + 3 + 2 + 4 + 578 + 9 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30588421262400 + 55072903316544 = 5530680^2 + 7421112^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2313839154 + ... + 2313876174.

Almost surely, 2^{85661324578944} 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 85661324578944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129580812155340).

85661324578944 is an abundant number, since it is smaller than the sum of its proper divisors (173500299731736).

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

85661324578944 is a wasteful number, since it uses less digits than its factorization.

85661324578944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37371 (or 37344 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 85661324578944 in words is "eighty-five trillion, six hundred sixty-one billion, three hundred twenty-four million, five hundred seventy-eight thousand, nine hundred forty-four".