85387352192 has 64 divisors (see below), whose sum is σ = 179970595200. Its totient is φ = 40241101824.

The previous prime is 85387352177. The next prime is 85387352203. The reversal of 85387352192 is 29125378358.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 389993 + ... + 568215.

It is an arithmetic number, because the mean of its divisors is an integer number (2812040550).

Almost surely, 2^85387352192 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 85387352192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89985297600).

85387352192 is an abundant number, since it is smaller than the sum of its proper divisors (94583243008).

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

85387352192 is a wasteful number, since it uses less digits than its factorization.

85387352192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178453 (or 178441 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 53.

The spelling of 85387352192 in words is "eighty-five billion, three hundred eighty-seven million, three hundred fifty-two thousand, one hundred ninety-two".