21431815200000 has 1296 divisors, whose sum is σ = 80209091289600. Its totient is φ = 5499187200000.

The previous prime is 21431815199987. The next prime is 21431815200001. The reversal of 21431815200000 is 251813412.

21431815200000 is a `hidden beast` number, since 21 + 43 + 1 + 81 + 520 + 0 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21431815200001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23320799541 + ... + 23320800459.

Almost surely, 2^{21431815200000} is an apocalyptic number.

21431815200000 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 21431815200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40104545644800).

21431815200000 is an abundant number, since it is smaller than the sum of its proper divisors (58777276089600).

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

21431815200000 is an frugal number, since it uses more digits than its factorization.

21431815200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 21431815200000 in words is "twenty-one trillion, four hundred thirty-one billion, eight hundred fifteen million, two hundred thousand".