21386419200 has 264 divisors, whose sum is σ = 78539459760. Its totient is φ = 5702860800.

The previous prime is 21386419181. The next prime is 21386419217. The reversal of 21386419200 is 291468312.

21386419200 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 641 + 9 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675730 + ... + 706670.

Almost surely, 2^21386419200 is an apocalyptic number.

21386419200 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 21386419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39269729880).

21386419200 is an abundant number, since it is smaller than the sum of its proper divisors (57153040560).

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

21386419200 is a wasteful number, since it uses less digits than its factorization.

21386419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30980 (or 30951 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21386419200 in words is "twenty-one billion, three hundred eighty-six million, four hundred nineteen thousand, two hundred".