85117934720 has 256 divisors, whose sum is σ = 251413908480. Its totient is φ = 26834042880.

The previous prime is 85117934639. The next prime is 85117934723. The reversal of 85117934720 is 2743971158.

It is not an unprimeable number, because it can be changed into a prime (85117934723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15780344 + ... + 15785736.

It is an arithmetic number, because the mean of its divisors is an integer number (982085580).

Almost surely, 2^85117934720 is an apocalyptic number.

85117934720 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 85117934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125706954240).

85117934720 is an abundant number, since it is smaller than the sum of its proper divisors (166295973760).

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

85117934720 is a wasteful number, since it uses less digits than its factorization.

85117934720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5703 (or 5691 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 47.

The spelling of 85117934720 in words is "eighty-five billion, one hundred seventeen million, nine hundred thirty-four thousand, seven hundred twenty".