352268260780800 has 648 divisors, whose sum is σ = 1456392205256016. Its totient is φ = 74324729364480.

The previous prime is 352268260780789. The next prime is 352268260780823. The reversal of 352268260780800 is 8087062862253.

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 71 ways as a sum of consecutive naturals, for example, 2170939 + ... + 26631738.

Almost surely, 2^{352268260780800} is an apocalyptic number.

352268260780800 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 352268260780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728196102628008).

352268260780800 is an abundant number, since it is smaller than the sum of its proper divisors (1104123944475216).

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

352268260780800 is a wasteful number, since it uses less digits than its factorization.

352268260780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28802733 (or 28802707 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 352268260780800 in words is "three hundred fifty-two trillion, two hundred sixty-eight billion, two hundred sixty million, seven hundred eighty thousand, eight hundred".