21382372224 has 320 divisors, whose sum is σ = 65987737200. Its totient is φ = 6867763200.

The previous prime is 21382372223. The next prime is 21382372267. The reversal of 21382372224 is 42227328312.

21382372224 is a `hidden beast` number, since 21 + 382 + 37 + 2 + 224 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21382372223) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53322424 + ... + 53322824.

Almost surely, 2^21382372224 is an apocalyptic number.

21382372224 is a gapful number since it is divisible by the number (24) 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 21382372224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32993868600).

21382372224 is an abundant number, since it is smaller than the sum of its proper divisors (44605364976).

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

21382372224 is a wasteful number, since it uses less digits than its factorization.

21382372224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 582 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The spelling of 21382372224 in words is "twenty-one billion, three hundred eighty-two million, three hundred seventy-two thousand, two hundred twenty-four".