21723238800 has 480 divisors, whose sum is σ = 81895651200. Its totient is φ = 5459650560.

The previous prime is 21723238781. The next prime is 21723238807. The reversal of 21723238800 is 883232712.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21723238807) 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, 13466794 + ... + 13468406.

It is an arithmetic number, because the mean of its divisors is an integer number (170615940).

Almost surely, 2^21723238800 is an apocalyptic number.

21723238800 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 21723238800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40947825600).

21723238800 is an abundant number, since it is smaller than the sum of its proper divisors (60172412400).

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

21723238800 is a wasteful number, since it uses less digits than its factorization.

21723238800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 21723238800 in words is "twenty-one billion, seven hundred twenty-three million, two hundred thirty-eight thousand, eight hundred".