2163954719160 has 1280 divisors, whose sum is σ = 8559519091200. Its totient is φ = 485691199488.

The previous prime is 2163954719057. The next prime is 2163954719243. The reversal of 2163954719160 is 619174593612.

2163954719160 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 9 + 5 + 471 + 9 + 160 = 666.

It is a super-2 number, since 2×2163954719160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2163954719097 and 2163954719106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3168308179 + ... + 3168308861.

It is an arithmetic number, because the mean of its divisors is an integer number (6687124290).

Almost surely, 2^{2163954719160} is an apocalyptic number.

2163954719160 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 2163954719160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279759545600).

2163954719160 is an abundant number, since it is smaller than the sum of its proper divisors (6395564372040).

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

2163954719160 is a wasteful number, since it uses less digits than its factorization.

2163954719160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 2163954719160 in words is "two trillion, one hundred sixty-three billion, nine hundred fifty-four million, seven hundred nineteen thousand, one hundred sixty".