352818790202160 has 800 divisors, whose sum is σ = 1373941477117440. Its totient is φ = 83387622334464.

The previous prime is 352818790202159. The next prime is 352818790202167. The reversal of 352818790202160 is 61202097818253.

352818790202160 is a `hidden beast` number, since 3 + 528 + 1 + 8 + 7 + 90 + 2 + 0 + 21 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 352818790202097 and 352818790202106.

It is not an unprimeable number, because it can be changed into a prime (352818790202167) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 349032987 + ... + 350042373.

Almost surely, 2^{352818790202160} is an apocalyptic number.

352818790202160 is a gapful number since it is divisible by the number (30) 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 352818790202160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686970738558720).

352818790202160 is an abundant number, since it is smaller than the sum of its proper divisors (1021122686915280).

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

352818790202160 is a wasteful number, since it uses less digits than its factorization.

352818790202160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009615 (or 1009600 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 352818790202160 in words is "three hundred fifty-two trillion, eight hundred eighteen billion, seven hundred ninety million, two hundred two thousand, one hundred sixty".