352220110560 has 192 divisors, whose sum is σ = 1233331142400. Its totient is φ = 93882640896.

The previous prime is 352220110559. The next prime is 352220110607. The reversal of 352220110560 is 65011022253.

It is a happy number.

352220110560 is a `hidden beast` number, since 3 + 522 + 20 + 110 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10121671 + ... + 10156409.

It is an arithmetic number, because the mean of its divisors is an integer number (6423599700).

Almost surely, 2^352220110560 is an apocalyptic number.

352220110560 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 352220110560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616665571200).

352220110560 is an abundant number, since it is smaller than the sum of its proper divisors (881111031840).

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

352220110560 is a wasteful number, since it uses less digits than its factorization.

352220110560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37110 (or 37096 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 352220110560 in words is "three hundred fifty-two billion, two hundred twenty million, one hundred ten thousand, five hundred sixty".