21849018400 has 216 divisors, whose sum is σ = 59110560432. Its totient is φ = 7879872000.

The previous prime is 21849018397. The next prime is 21849018413. The reversal of 21849018400 is 481094812.

It is a self number, because there is not a number n which added to its sum of digits gives 21849018400.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12679939 + ... + 12681661.

It is an arithmetic number, because the mean of its divisors is an integer number (273660002).

Almost surely, 2^21849018400 is an apocalyptic number.

21849018400 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 21849018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29555280216).

21849018400 is an abundant number, since it is smaller than the sum of its proper divisors (37261542032).

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

21849018400 is a wasteful number, since it uses less digits than its factorization.

21849018400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The spelling of 21849018400 in words is "twenty-one billion, eight hundred forty-nine million, eighteen thousand, four hundred".