85760313804 has 216 divisors, whose sum is σ = 242074136304. Its totient is φ = 25578009600.

The previous prime is 85760313791. The next prime is 85760313853. The reversal of 85760313804 is 40831306758.

85760313804 is a `hidden beast` number, since 8 + 5 + 7 + 603 + 1 + 38 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85760313804.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78176584 + ... + 78177680.

It is an arithmetic number, because the mean of its divisors is an integer number (1120713594).

Almost surely, 2^85760313804 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 85760313804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121037068152).

85760313804 is an abundant number, since it is smaller than the sum of its proper divisors (156313822500).

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

85760313804 is a wasteful number, since it uses less digits than its factorization.

85760313804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 85760313804 in words is "eighty-five billion, seven hundred sixty million, three hundred thirteen thousand, eight hundred four".