21014884800 has 1512 divisors, whose sum is σ = 98021851200. Its totient is φ = 4226826240.

The previous prime is 21014884777. The next prime is 21014884801. The reversal of 21014884800 is 848841012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21014884801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 266011161 + ... + 266011239.

Almost surely, 2^21014884800 is an apocalyptic number.

21014884800 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 21014884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49010925600).

21014884800 is an abundant number, since it is smaller than the sum of its proper divisors (77006966400).

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

21014884800 is a wasteful number, since it uses less digits than its factorization.

21014884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 21014884800 in words is "twenty-one billion, fourteen million, eight hundred eighty-four thousand, eight hundred".