21868891430400 has 720 divisors, whose sum is σ = 89714430968448. Its totient is φ = 4983441408000.

The previous prime is 21868891430389. The next prime is 21868891430423. The reversal of 21868891430400 is 403419886812.

It is a happy number.

21868891430400 is a `hidden beast` number, since 2 + 1 + 8 + 6 + 88 + 91 + 430 + 40 + 0 = 666.

21868891430400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 266877435 + ... + 266959365.

Almost surely, 2^{21868891430400} is an apocalyptic number.

21868891430400 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 21868891430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44857215484224).

21868891430400 is an abundant number, since it is smaller than the sum of its proper divisors (67845539538048).

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

21868891430400 is a wasteful number, since it uses less digits than its factorization.

21868891430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82303 (or 82279 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 21868891430400 in words is "twenty-one trillion, eight hundred sixty-eight billion, eight hundred ninety-one million, four hundred thirty thousand, four hundred".