852012693840 has 480 divisors, whose sum is σ = 3528196323840. Its totient is φ = 167723136000.

The previous prime is 852012693839. The next prime is 852012693901. The reversal of 852012693840 is 48396210258.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 852012693840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2284515 + ... + 2631165.

It is an arithmetic number, because the mean of its divisors is an integer number (7350409008).

Almost surely, 2^852012693840 is an apocalyptic number.

852012693840 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 852012693840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764098161920).

852012693840 is an abundant number, since it is smaller than the sum of its proper divisors (2676183630000).

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

852012693840 is a wasteful number, since it uses less digits than its factorization.

852012693840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346711 (or 346698 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 852012693840 in words is "eight hundred fifty-two billion, twelve million, six hundred ninety-three thousand, eight hundred forty".