8352820365120 has 2688 divisors, whose sum is σ = 39114784051200. Its totient is φ = 1583765913600.

The previous prime is 8352820365119. The next prime is 8352820365143. The reversal of 8352820365120 is 215630282538.

8352820365120 is a `hidden beast` number, since 8 + 3 + 5 + 282 + 0 + 365 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×8352820365120² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20422543476 + ... + 20422543884.

Almost surely, 2^{8352820365120} is an apocalyptic number.

8352820365120 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 8352820365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19557392025600).

8352820365120 is an abundant number, since it is smaller than the sum of its proper divisors (30761963686080).

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

8352820365120 is a wasteful number, since it uses less digits than its factorization.

8352820365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 8352820365120 in words is "eight trillion, three hundred fifty-two billion, eight hundred twenty million, three hundred sixty-five thousand, one hundred twenty".