352109957120 has 208 divisors, whose sum is σ = 859009173120. Its totient is φ = 138518986752.

The previous prime is 352109957113. The next prime is 352109957137. The reversal of 352109957120 is 21759901253.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610242272 + ... + 610242848.

Almost surely, 2^352109957120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352109957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429504586560).

352109957120 is an abundant number, since it is smaller than the sum of its proper divisors (506899216000).

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

352109957120 is an equidigital number, since it uses as much as digits as its factorization.

352109957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 44.

The spelling of 352109957120 in words is "three hundred fifty-two billion, one hundred nine million, nine hundred fifty-seven thousand, one hundred twenty".