852412438080 has 448 divisors, whose sum is σ = 3457834567680. Its totient is φ = 193639569408.

The previous prime is 852412438069. The next prime is 852412438081. The reversal of 852412438080 is 80834214258.

852412438080 is a `hidden beast` number, since 8 + 5 + 241 + 24 + 380 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 (852412438081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9815007 + ... + 9901473.

Almost surely, 2^852412438080 is an apocalyptic number.

852412438080 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 852412438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728917283840).

852412438080 is an abundant number, since it is smaller than the sum of its proper divisors (2605422129600).

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

852412438080 is a wasteful number, since it uses less digits than its factorization.

852412438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86663 (or 86647 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 852412438080 in words is "eight hundred fifty-two billion, four hundred twelve million, four hundred thirty-eight thousand, eighty".