21713605200 has 1080 divisors, whose sum is σ = 93792246912. Its totient is φ = 4807434240.

The previous prime is 21713605189. The next prime is 21713605217. The reversal of 21713605200 is 250631712.

It is a happy number.

21713605200 is a `hidden beast` number, since 2 + 1 + 7 + 136 + 0 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 223851552 + ... + 223851648.

Almost surely, 2^21713605200 is an apocalyptic number.

21713605200 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 21713605200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46896123456).

21713605200 is an abundant number, since it is smaller than the sum of its proper divisors (72078641712).

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

21713605200 is a wasteful number, since it uses less digits than its factorization.

21713605200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 21713605200 in words is "twenty-one billion, seven hundred thirteen million, six hundred five thousand, two hundred".