21163143316320 has 288 divisors, whose sum is σ = 73196308523520. Its totient is φ = 5567274685440.

The previous prime is 21163143316309. The next prime is 21163143316369. The reversal of 21163143316320 is 2361334136112.

21163143316320 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 3 + 14 + 3 + 3 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133133527 + ... + 133292393.

It is an arithmetic number, because the mean of its divisors is an integer number (254153849040).

Almost surely, 2^{21163143316320} is an apocalyptic number.

21163143316320 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 21163143316320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36598154261760).

21163143316320 is an abundant number, since it is smaller than the sum of its proper divisors (52033165207200).

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

21163143316320 is a wasteful number, since it uses less digits than its factorization.

21163143316320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160138 (or 160127 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 21163143316320 in words is "twenty-one trillion, one hundred sixty-three billion, one hundred forty-three million, three hundred sixteen thousand, three hundred twenty".