85191758288 has 240 divisors, whose sum is σ = 218521638720. Its totient is φ = 31802222592.

The previous prime is 85191758279. The next prime is 85191758291. The reversal of 85191758288 is 88285719158.

It is a self number, because there is not a number n which added to its sum of digits gives 85191758288.

It is a congruent number.

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, 59449220 + ... + 59450652.

It is an arithmetic number, because the mean of its divisors is an integer number (910506828).

Almost surely, 2^85191758288 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 85191758288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109260819360).

85191758288 is an abundant number, since it is smaller than the sum of its proper divisors (133329880432).

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

85191758288 is a wasteful number, since it uses less digits than its factorization.

85191758288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1781 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 62.

The spelling of 85191758288 in words is "eighty-five billion, one hundred ninety-one million, seven hundred fifty-eight thousand, two hundred eighty-eight".