21201114266360 has 256 divisors, whose sum is σ = 57372458976000. Its totient is φ = 6898041077760.

The previous prime is 21201114266359. The next prime is 21201114266413. The reversal of 21201114266360 is 6366241110212.

It is a super-2 number, since 2×21201114266360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 21201114266360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2900682386 + ... + 2900689694.

It is an arithmetic number, because the mean of its divisors is an integer number (224111167875).

Almost surely, 2^{21201114266360} is an apocalyptic number.

21201114266360 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 21201114266360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28686229488000).

21201114266360 is an abundant number, since it is smaller than the sum of its proper divisors (36171344709640).

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

21201114266360 is a wasteful number, since it uses less digits than its factorization.

21201114266360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14234 (or 14230 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

Adding to 21201114266360 its reverse (6366241110212), we get a palindrome (27567355376572).

The spelling of 21201114266360 in words is "twenty-one trillion, two hundred one billion, one hundred fourteen million, two hundred sixty-six thousand, three hundred sixty".