21360714200280 has 1536 divisors, whose sum is σ = 90371054592000. Its totient is φ = 4252614524928.

The previous prime is 21360714200269. The next prime is 21360714200311. The reversal of 21360714200280 is 8200241706312.

It is a happy number.

21360714200280 is a `hidden beast` number, since 2 + 1 + 3 + 607 + 1 + 4 + 20 + 0 + 28 + 0 = 666.

21360714200280 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21360714200280² (a number of 27 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 34846189254 + ... + 34846189866.

It is an arithmetic number, because the mean of its divisors is an integer number (58835322000).

Almost surely, 2^{21360714200280} is an apocalyptic number.

21360714200280 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 21360714200280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45185527296000).

21360714200280 is an abundant number, since it is smaller than the sum of its proper divisors (69010340391720).

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

21360714200280 is a wasteful number, since it uses less digits than its factorization.

21360714200280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 21360714200280 its reverse (8200241706312), we get a palindrome (29560955906592).

The spelling of 21360714200280 in words is "twenty-one trillion, three hundred sixty billion, seven hundred fourteen million, two hundred thousand, two hundred eighty".