2163420316800 has 960 divisors, whose sum is σ = 8439894038400. Its totient is φ = 544195584000.

The previous prime is 2163420316793. The next prime is 2163420316847. The reversal of 2163420316800 is 86130243612.

2163420316800 is a `hidden beast` number, since 2 + 1 + 634 + 2 + 0 + 3 + 16 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1334619990 + ... + 1334621610.

It is an arithmetic number, because the mean of its divisors is an integer number (8791556290).

Almost surely, 2^{2163420316800} is an apocalyptic number.

2163420316800 is a gapful number since it is divisible by the number (20) 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 2163420316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219947019200).

2163420316800 is an abundant number, since it is smaller than the sum of its proper divisors (6276473721600).

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

2163420316800 is a wasteful number, since it uses less digits than its factorization.

2163420316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2163420316800 in words is "two trillion, one hundred sixty-three billion, four hundred twenty million, three hundred sixteen thousand, eight hundred".