353991680000 has 840 divisors, whose sum is σ = 1102734880632. Its totient is φ = 112852992000.

The previous prime is 353991679999. The next prime is 353991680027. The reversal of 353991680000 is 86199353.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4264959959 + ... + 4264960041.

Almost surely, 2^353991680000 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 353991680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551367440316).

353991680000 is an abundant number, since it is smaller than the sum of its proper divisors (748743200632).

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

353991680000 is an frugal number, since it uses more digits than its factorization.

353991680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 44.

The spelling of 353991680000 in words is "three hundred fifty-three billion, nine hundred ninety-one million, six hundred eighty thousand".