852117115752 has 160 divisors (see below), whose sum is σ = 2728169421120. Its totient is φ = 243418037760.

The previous prime is 852117115741. The next prime is 852117115771. The reversal of 852117115752 is 257511711258.

852117115752 is a `hidden beast` number, since 8 + 5 + 2 + 1 + 1 + 71 + 1 + 575 + 2 = 666.

It is a super-2 number, since 2×852117115752² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 852117115698 and 852117115707.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31561603 + ... + 31588589.

It is an arithmetic number, because the mean of its divisors is an integer number (17051058882).

Almost surely, 2^852117115752 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 852117115752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364084710560).

852117115752 is an abundant number, since it is smaller than the sum of its proper divisors (1876052305368).

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

852117115752 is a wasteful number, since it uses less digits than its factorization.

852117115752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33973 (or 33960 counting only the distinct ones).

The product of its digits is 196000, while the sum is 45.

The spelling of 852117115752 in words is "eight hundred fifty-two billion, one hundred seventeen million, one hundred fifteen thousand, seven hundred fifty-two".