852059496913920 has 2640 divisors, whose sum is σ = 3330090383735808. Its totient is φ = 208162738667520.

The previous prime is 852059496913907. The next prime is 852059496913927. The reversal of 852059496913920 is 29319694950258.

852059496913920 is a `hidden beast` number, since 8 + 5 + 2 + 0 + 594 + 9 + 6 + 9 + 1 + 3 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852059496913927) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 779560380894 + ... + 779560381986.

Almost surely, 2^{852059496913920} is an apocalyptic number.

852059496913920 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 852059496913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665045191867904).

852059496913920 is an abundant number, since it is smaller than the sum of its proper divisors (2478030886821888).

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

852059496913920 is a wasteful number, since it uses less digits than its factorization.

852059496913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 377913600, while the sum is 72.

The spelling of 852059496913920 in words is "eight hundred fifty-two trillion, fifty-nine billion, four hundred ninety-six million, nine hundred thirteen thousand, nine hundred twenty".