2163456120000 has 280 divisors, whose sum is σ = 8174735447296. Its totient is φ = 494504064000.

The previous prime is 2163456119971. The next prime is 2163456120011. The reversal of 2163456120000 is 216543612.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2163456120000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 447772 + ... + 2127771.

Almost surely, 2^{2163456120000} is an apocalyptic number.

2163456120000 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 2163456120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087367723648).

2163456120000 is an abundant number, since it is smaller than the sum of its proper divisors (6011279327296).

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

2163456120000 is an equidigital number, since it uses as much as digits as its factorization.

2163456120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575585 (or 2575560 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 2163456120000 in words is "two trillion, one hundred sixty-three billion, four hundred fifty-six million, one hundred twenty thousand".