85107329610912 has 576 divisors, whose sum is σ = 286204982708736. Its totient is φ = 23488861593600.

The previous prime is 85107329610871. The next prime is 85107329610937. The reversal of 85107329610912 is 21901692370158.

It is a happy number.

85107329610912 is a `hidden beast` number, since 8 + 5 + 1 + 0 + 7 + 3 + 2 + 9 + 610 + 9 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1903902162 + ... + 1903946862.

It is an arithmetic number, because the mean of its divisors is an integer number (496883650536).

Almost surely, 2^{85107329610912} 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 85107329610912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143102491354368).

85107329610912 is an abundant number, since it is smaller than the sum of its proper divisors (201097653097824).

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

85107329610912 is a wasteful number, since it uses less digits than its factorization.

85107329610912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45053 (or 45042 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 85107329610912 in words is "eighty-five trillion, one hundred seven billion, three hundred twenty-nine million, six hundred ten thousand, nine hundred twelve".