85332996672 has 672 divisors, whose sum is σ = 300927430656. Its totient is φ = 21076070400.

The previous prime is 85332996649. The next prime is 85332996691. The reversal of 85332996672 is 27669923358.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-4 number, since 4×85332996672⁴ (a number of 45 digits) contains 4444 as substring.

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, 214944378 + ... + 214944774.

Almost surely, 2^85332996672 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 85332996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150463715328).

85332996672 is an abundant number, since it is smaller than the sum of its proper divisors (215594433984).

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

85332996672 is a wasteful number, since it uses less digits than its factorization.

85332996672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 518 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 60.

The spelling of 85332996672 in words is "eighty-five billion, three hundred thirty-two million, nine hundred ninety-six thousand, six hundred seventy-two".