85179930192 has 240 divisors, whose sum is σ = 274403409280. Its totient is φ = 24162582528.

The previous prime is 85179930191. The next prime is 85179930197. The reversal of 85179930192 is 29103997158.

85179930192 is a `hidden beast` number, since 8 + 517 + 9 + 9 + 30 + 1 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85179930191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126567168 + ... + 126567840.

Almost surely, 2^85179930192 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 85179930192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137201704640).

85179930192 is an abundant number, since it is smaller than the sum of its proper divisors (189223479088).

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

85179930192 is a wasteful number, since it uses less digits than its factorization.

85179930192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 85179930192 in words is "eighty-five billion, one hundred seventy-nine million, nine hundred thirty thousand, one hundred ninety-two".