85040091832608 has 288 divisors, whose sum is σ = 265988096704512. Its totient is φ = 25557848870400.

The previous prime is 85040091832571. The next prime is 85040091832627. The reversal of 85040091832608 is 80623819004058.

85040091832608 is a `hidden beast` number, since 8 + 50 + 400 + 9 + 183 + 2 + 6 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1195304685 + ... + 1195375827.

It is an arithmetic number, because the mean of its divisors is an integer number (923569780224).

Almost surely, 2^{85040091832608} is an apocalyptic number.

85040091832608 is a gapful number since it is divisible by the number (88) 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 85040091832608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132994048352256).

85040091832608 is an abundant number, since it is smaller than the sum of its proper divisors (180948004871904).

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

85040091832608 is a wasteful number, since it uses less digits than its factorization.

85040091832608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74268 (or 74257 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 85040091832608 in words is "eighty-five trillion, forty billion, ninety-one million, eight hundred thirty-two thousand, six hundred eight".