21816345600 has 924 divisors, whose sum is σ = 93217825344. Its totient is φ = 4956733440.

The previous prime is 21816345589. The next prime is 21816345613. The reversal of 21816345600 is 654361812.

It is a happy number.

21816345600 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 6 + 3 + 45 + 600 = 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 polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 130636717 + ... + 130636883.

Almost surely, 2^21816345600 is an apocalyptic number.

21816345600 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 21816345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46608912672).

21816345600 is an abundant number, since it is smaller than the sum of its proper divisors (71401479744).

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

21816345600 is an equidigital number, since it uses as much as digits as its factorization.

21816345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 21816345600 in words is "twenty-one billion, eight hundred sixteen million, three hundred forty-five thousand, six hundred".