85113930137600 has 2160 divisors, whose sum is σ = 289477917227520. Its totient is φ = 24495154790400.

The previous prime is 85113930137543. The next prime is 85113930137629. The reversal of 85113930137600 is 673103931158.

It is a super-2 number, since 2×85113930137600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 137502310091 + ... + 137502310709.

It is an arithmetic number, because the mean of its divisors is an integer number (134017554272).

Almost surely, 2^{85113930137600} is an apocalyptic number.

85113930137600 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 85113930137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144738958613760).

85113930137600 is an abundant number, since it is smaller than the sum of its proper divisors (204363987089920).

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

85113930137600 is a wasteful number, since it uses less digits than its factorization.

85113930137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The spelling of 85113930137600 in words is "eighty-five trillion, one hundred thirteen billion, nine hundred thirty million, one hundred thirty-seven thousand, six hundred".