852795861120 has 384 divisors, whose sum is σ = 3375252167040. Its totient is φ = 194359836672.

The previous prime is 852795861109. The next prime is 852795861143. The reversal of 852795861120 is 21168597258.

852795861120 is a `hidden beast` number, since 8 + 5 + 27 + 9 + 586 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13960564 + ... + 14021516.

It is an arithmetic number, because the mean of its divisors is an integer number (8789719185).

Almost surely, 2^852795861120 is an apocalyptic number.

852795861120 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 852795861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687626083520).

852795861120 is an abundant number, since it is smaller than the sum of its proper divisors (2522456305920).

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

852795861120 is a wasteful number, since it uses less digits than its factorization.

852795861120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61332 (or 61317 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 852795861120 in words is "eight hundred fifty-two billion, seven hundred ninety-five million, eight hundred sixty-one thousand, one hundred twenty".