21713897813760 has 432 divisors, whose sum is σ = 79659270905760. Its totient is φ = 5445567774720.

The previous prime is 21713897813687. The next prime is 21713897813761. The reversal of 21713897813760 is 6731879831712.

21713897813760 is a `hidden beast` number, since 2 + 1 + 71 + 38 + 97 + 81 + 376 + 0 = 666.

It is a super-2 number, since 2×21713897813760² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21713897813761) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 29624500 + ... + 30348620.

It is an arithmetic number, because the mean of its divisors is an integer number (184396460430).

Almost surely, 2^{21713897813760} is an apocalyptic number.

21713897813760 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 21713897813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39829635452880).

21713897813760 is an abundant number, since it is smaller than the sum of its proper divisors (57945373092000).

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

21713897813760 is a wasteful number, since it uses less digits than its factorization.

21713897813760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724304 (or 724287 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 21713897813760 in words is "twenty-one trillion, seven hundred thirteen billion, eight hundred ninety-seven million, eight hundred thirteen thousand, seven hundred sixty".