352503561320000 has 560 divisors, whose sum is σ = 904264550217600. Its totient is φ = 136215281664000.

The previous prime is 352503561319939. The next prime is 352503561320011. The reversal of 352503561320000 is 23165305253.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59214437024 + ... + 59214442976.

Almost surely, 2^{352503561320000} 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 352503561320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452132275108800).

352503561320000 is an abundant number, since it is smaller than the sum of its proper divisors (551760988897600).

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

352503561320000 is a wasteful number, since it uses less digits than its factorization.

352503561320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400 (or 6375 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 35.

The spelling of 352503561320000 in words is "three hundred fifty-two trillion, five hundred three billion, five hundred sixty-one million, three hundred twenty thousand".