852032079360 has 3200 divisors, whose sum is σ = 4178692260864. Its totient is φ = 160526499840.

The previous prime is 852032079329. The next prime is 852032079401. The reversal of 852032079360 is 63970230258.

852032079360 is a `hidden beast` number, since 8 + 520 + 3 + 20 + 79 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11671672284 + ... + 11671672356.

Almost surely, 2^852032079360 is an apocalyptic number.

852032079360 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 852032079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089346130432).

852032079360 is an abundant number, since it is smaller than the sum of its proper divisors (3326660181504).

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

852032079360 is a wasteful number, since it uses less digits than its factorization.

852032079360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 852032079360 in words is "eight hundred fifty-two billion, thirty-two million, seventy-nine thousand, three hundred sixty".