85600757760 has 1152 divisors, whose sum is σ = 348217833600. Its totient is φ = 17836277760.

The previous prime is 85600757681. The next prime is 85600757797. The reversal of 85600757760 is 6775700658.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1172613084 + ... + 1172613156.

It is an arithmetic number, because the mean of its divisors is an integer number (302272425).

Almost surely, 2^85600757760 is an apocalyptic number.

85600757760 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 85600757760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174108916800).

85600757760 is an abundant number, since it is smaller than the sum of its proper divisors (262617075840).

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

85600757760 is a wasteful number, since it uses less digits than its factorization.

85600757760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 51.

The spelling of 85600757760 in words is "eighty-five billion, six hundred million, seven hundred fifty-seven thousand, seven hundred sixty".