21033216000 has 768 divisors, whose sum is σ = 82791072000. Its totient is φ = 5249433600.

The previous prime is 21033215977. The next prime is 21033216007. The reversal of 21033216000 is 61233012.

21033216000 is a `hidden beast` number, since 2 + 10 + 33 + 21 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21033216007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117503911 + ... + 117504089.

It is an arithmetic number, because the mean of its divisors is an integer number (107800875).

Almost surely, 2^21033216000 is an apocalyptic number.

21033216000 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 21033216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41395536000).

21033216000 is an abundant number, since it is smaller than the sum of its proper divisors (61757856000).

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

21033216000 is a wasteful number, since it uses less digits than its factorization.

21033216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21033216000 its reverse (61233012), we get a palindrome (21094449012).

The spelling of 21033216000 in words is "twenty-one billion, thirty-three million, two hundred sixteen thousand".