852263660160 has 768 divisors, whose sum is σ = 3478613973120. Its totient is φ = 189923328000.

The previous prime is 852263660141. The next prime is 852263660167. The reversal of 852263660160 is 61066362258.

852263660160 is a `hidden beast` number, since 8 + 5 + 2 + 2 + 6 + 36 + 601 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (852263660167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46306960 + ... + 46325360.

Almost surely, 2^852263660160 is an apocalyptic number.

852263660160 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 852263660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739306986560).

852263660160 is an abundant number, since it is smaller than the sum of its proper divisors (2626350312960).

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

852263660160 is a wasteful number, since it uses less digits than its factorization.

852263660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18497 (or 18482 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 852263660160 in words is "eight hundred fifty-two billion, two hundred sixty-three million, six hundred sixty thousand, one hundred sixty".