852235413120 has 1024 divisors, whose sum is σ = 3727395302400. Its totient is φ = 179206815744.

The previous prime is 852235413101. The next prime is 852235413137. The reversal of 852235413120 is 21314532258.

852235413120 is a `hidden beast` number, since 8 + 5 + 2 + 235 + 413 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 586534314 + ... + 586535766.

It is an arithmetic number, because the mean of its divisors is an integer number (3640034475).

Almost surely, 2^852235413120 is an apocalyptic number.

852235413120 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 852235413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863697651200).

852235413120 is an abundant number, since it is smaller than the sum of its proper divisors (2875159889280).

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

852235413120 is a wasteful number, since it uses less digits than its factorization.

852235413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 852235413120 its reverse (21314532258), we get a palindrome (873549945378).

The spelling of 852235413120 in words is "eight hundred fifty-two billion, two hundred thirty-five million, four hundred thirteen thousand, one hundred twenty".