21903072000 has 288 divisors, whose sum is σ = 77036266944. Its totient is φ = 5496832000.

The previous prime is 21903071989. The next prime is 21903072001. The reversal of 21903072000 is 27030912.

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

It is not an unprimeable number, because it can be changed into a prime (21903072001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1625290 + ... + 1638710.

It is an arithmetic number, because the mean of its divisors is an integer number (267487038).

Almost surely, 2^21903072000 is an apocalyptic number.

21903072000 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 21903072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38518133472).

21903072000 is an abundant number, since it is smaller than the sum of its proper divisors (55133194944).

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

21903072000 is a wasteful number, since it uses less digits than its factorization.

21903072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13472 (or 13448 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The spelling of 21903072000 in words is "twenty-one billion, nine hundred three million, seventy-two thousand".