852912318240 has 192 divisors, whose sum is σ = 2988104152320. Its totient is φ = 227221493760.

The previous prime is 852912318239. The next prime is 852912318281. The reversal of 852912318240 is 42813219258.

852912318240 is a `hidden beast` number, since 8 + 5 + 2 + 91 + 2 + 318 + 240 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4358172 + ... + 4549668.

It is an arithmetic number, because the mean of its divisors is an integer number (15563042460).

Almost surely, 2^852912318240 is an apocalyptic number.

852912318240 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 852912318240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494052076160).

852912318240 is an abundant number, since it is smaller than the sum of its proper divisors (2135191834080).

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

852912318240 is a wasteful number, since it uses less digits than its factorization.

852912318240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192552 (or 192538 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 852912318240 in words is "eight hundred fifty-two billion, nine hundred twelve million, three hundred eighteen thousand, two hundred forty".