21216624000 has 768 divisors, whose sum is σ = 83551366080. Its totient is φ = 4730880000.

The previous prime is 21216623983. The next prime is 21216624007. The reversal of 21216624000 is 42661212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21216624007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75503860 + ... + 75504140.

Almost surely, 2^21216624000 is an apocalyptic number.

21216624000 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 21216624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41775683040).

21216624000 is an abundant number, since it is smaller than the sum of its proper divisors (62334742080).

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

21216624000 is a wasteful number, since it uses less digits than its factorization.

21216624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 21216624000 in words is "twenty-one billion, two hundred sixteen million, six hundred twenty-four thousand".