85331373832320 has 2048 divisors, whose sum is σ = 363452618833920. Its totient is φ = 16503201792000.

The previous prime is 85331373832219. The next prime is 85331373832337. The reversal of 85331373832320 is 2323837313358.

It is a super-2 number, since 2×85331373832320² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 44887623370 + ... + 44887625270.

It is an arithmetic number, because the mean of its divisors is an integer number (177467099040).

Almost surely, 2^{85331373832320} is an apocalyptic number.

85331373832320 is a gapful number since it is divisible by the number (80) 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 85331373832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181726309416960).

85331373832320 is an abundant number, since it is smaller than the sum of its proper divisors (278121245001600).

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

85331373832320 is a wasteful number, since it uses less digits than its factorization.

85331373832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 51.

The spelling of 85331373832320 in words is "eighty-five trillion, three hundred thirty-one billion, three hundred seventy-three million, eight hundred thirty-two thousand, three hundred twenty".