359989228800 has 864 divisors, whose sum is σ = 1404247622400. Its totient is φ = 90038108160.

The previous prime is 359989228769. The next prime is 359989228801. The reversal of 359989228800 is 8822989953.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359989228801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 210642346 + ... + 210644054.

It is an arithmetic number, because the mean of its divisors is an integer number (1625286600).

Almost surely, 2^359989228800 is an apocalyptic number.

359989228800 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 359989228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702123811200).

359989228800 is an abundant number, since it is smaller than the sum of its proper divisors (1044258393600).

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

359989228800 is a wasteful number, since it uses less digits than its factorization.

359989228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 359989228800 in words is "three hundred fifty-nine billion, nine hundred eighty-nine million, two hundred twenty-eight thousand, eight hundred".