85757793243360 has 768 divisors, whose sum is σ = 327150544896000. Its totient is φ = 18446214758400.

The previous prime is 85757793243281. The next prime is 85757793243373. The reversal of 85757793243360 is 6334239775758.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8143361295 + ... + 8143371825.

It is an arithmetic number, because the mean of its divisors is an integer number (425977272000).

Almost surely, 2^{85757793243360} is an apocalyptic number.

85757793243360 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 85757793243360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163575272448000).

85757793243360 is an abundant number, since it is smaller than the sum of its proper divisors (241392751652640).

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

85757793243360 is a wasteful number, since it uses less digits than its factorization.

85757793243360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11415 (or 11407 counting only the distinct ones).

The product of its (nonzero) digits is 800150400, while the sum is 69.

The spelling of 85757793243360 in words is "eighty-five trillion, seven hundred fifty-seven billion, seven hundred ninety-three million, two hundred forty-three thousand, three hundred sixty".