85295319912 has 192 divisors, whose sum is σ = 262611460800. Its totient is φ = 24772715520.

The previous prime is 85295319877. The next prime is 85295319947. The reversal of 85295319912 is 21991359258.

It is a happy number.

85295319912 is a `hidden beast` number, since 8 + 5 + 2 + 9 + 531 + 99 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (85295319877) and next prime (85295319947).

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, 3133063 + ... + 3160169.

It is an arithmetic number, because the mean of its divisors is an integer number (1367768025).

Almost surely, 2^85295319912 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 85295319912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131305730400).

85295319912 is an abundant number, since it is smaller than the sum of its proper divisors (177316140888).

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

85295319912 is a wasteful number, since it uses less digits than its factorization.

85295319912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27296 (or 27289 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 54.

The spelling of 85295319912 in words is "eighty-five billion, two hundred ninety-five million, three hundred nineteen thousand, nine hundred twelve".