85086630912 has 264 divisors, whose sum is σ = 242523319680. Its totient is φ = 26515865600.

The previous prime is 85086630869. The next prime is 85086630931. The reversal of 85086630912 is 21903668058.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212185912 + ... + 212186312.

Almost surely, 2^85086630912 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 85086630912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121261659840).

85086630912 is an abundant number, since it is smaller than the sum of its proper divisors (157436688768).

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

85086630912 is a wasteful number, since it uses less digits than its factorization.

85086630912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 85086630912 in words is "eighty-five billion, eighty-six million, six hundred thirty thousand, nine hundred twelve".