85580412192 has 384 divisors, whose sum is σ = 280311736320. Its totient is φ = 25178065920.

The previous prime is 85580412157. The next prime is 85580412221. The reversal of 85580412192 is 29121408558.

85580412192 is a `hidden beast` number, since 8 + 5 + 580 + 41 + 21 + 9 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80507853 + ... + 80508915.

It is an arithmetic number, because the mean of its divisors is an integer number (729978480).

Almost surely, 2^85580412192 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 85580412192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140155868160).

85580412192 is an abundant number, since it is smaller than the sum of its proper divisors (194731324128).

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

85580412192 is a wasteful number, since it uses less digits than its factorization.

85580412192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 85580412192 in words is "eighty-five billion, five hundred eighty million, four hundred twelve thousand, one hundred ninety-two".