352893964022880 has 480 divisors, whose sum is σ = 1365061299840000. Its totient is φ = 76416131828736.

The previous prime is 352893964022857. The next prime is 352893964022921. The reversal of 352893964022880 is 88220469398253.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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, 13839121 + ... + 29955119.

It is an arithmetic number, because the mean of its divisors is an integer number (2843877708000).

Almost surely, 2^{352893964022880} is an apocalyptic number.

352893964022880 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 352893964022880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682530649920000).

352893964022880 is an abundant number, since it is smaller than the sum of its proper divisors (1012167335817120).

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

352893964022880 is a wasteful number, since it uses less digits than its factorization.

352893964022880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16116064 (or 16116035 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 69.

The spelling of 352893964022880 in words is "three hundred fifty-two trillion, eight hundred ninety-three billion, nine hundred sixty-four million, twenty-two thousand, eight hundred eighty".