85765760520192 has 312 divisors, whose sum is σ = 258637666123200. Its totient is φ = 28396668026880.

The previous prime is 85765760520149. The next prime is 85765760520197. The reversal of 85765760520192 is 29102506756758.

85765760520192 is a `hidden beast` number, since 8 + 5 + 7 + 6 + 5 + 7 + 605 + 2 + 0 + 19 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (85765760520197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148014717 + ... + 148593027.

It is an arithmetic number, because the mean of its divisors is an integer number (828966878600).

Almost surely, 2^{85765760520192} 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 85765760520192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129318833061600).

85765760520192 is an abundant number, since it is smaller than the sum of its proper divisors (172871905603008).

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

85765760520192 is an equidigital number, since it uses as much as digits as its factorization.

85765760520192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578499 (or 578465 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 85765760520192 in words is "eighty-five trillion, seven hundred sixty-five billion, seven hundred sixty million, five hundred twenty thousand, one hundred ninety-two".