21969730213200 has 2880 divisors, whose sum is σ = 101388310732800. Its totient is φ = 4436873625600.

The previous prime is 21969730213169. The next prime is 21969730213201. The reversal of 21969730213200 is 231203796912.

21969730213200 is a `hidden beast` number, since 2 + 19 + 6 + 9 + 7 + 302 + 1 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21969730213201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 43162534546 + ... + 43162535054.

It is an arithmetic number, because the mean of its divisors is an integer number (35204274560).

Almost surely, 2^{21969730213200} is an apocalyptic number.

21969730213200 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 21969730213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50694155366400).

21969730213200 is an abundant number, since it is smaller than the sum of its proper divisors (79418580519600).

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

21969730213200 is a wasteful number, since it uses less digits than its factorization.

21969730213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 21969730213200 in words is "twenty-one trillion, nine hundred sixty-nine billion, seven hundred thirty million, two hundred thirteen thousand, two hundred".