85338976000000 has 336 divisors, whose sum is σ = 214614283370760. Its totient is φ = 33924096000000.

The previous prime is 85338975999961. The next prime is 85338976000013. The reversal of 85338976000000 is 67983358.

It is a super-3 number, since 3×85338976000000³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85338975999899 and 85338975999908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5215991820 + ... + 5216008180.

Almost surely, 2^{85338976000000} is an apocalyptic number.

85338976000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85338976000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107307141685380).

85338976000000 is an abundant number, since it is smaller than the sum of its proper divisors (129275307370760).

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

85338976000000 is an frugal number, since it uses more digits than its factorization.

85338976000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16576 (or 16531 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 85338976000000 in words is "eighty-five trillion, three hundred thirty-eight billion, nine hundred seventy-six million", and thus it is an aban number.