85185793048224 has 288 divisors, whose sum is σ = 247197428299584. Its totient is φ = 25471837224960.

The previous prime is 85185793048207. The next prime is 85185793048231. The reversal of 85185793048224 is 42284039758158.

It is a Cunningham number, because it is equal to 9229615²-1.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6257672842 + ... + 6257686454.

It is an arithmetic number, because the mean of its divisors is an integer number (858324403818).

Almost surely, 2^{85185793048224} 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 85185793048224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123598714149792).

85185793048224 is an abundant number, since it is smaller than the sum of its proper divisors (162011635251360).

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

85185793048224 is a wasteful number, since it uses less digits than its factorization.

85185793048224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14208 (or 13971 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 66.

The spelling of 85185793048224 in words is "eighty-five trillion, one hundred eighty-five billion, seven hundred ninety-three million, forty-eight thousand, two hundred twenty-four".