21424882752 has 896 divisors, whose sum is σ = 83568844800. Its totient is φ = 5225472000.

The previous prime is 21424882747. The next prime is 21424882753. The reversal of 21424882752 is 25728842412.

21424882752 is a `hidden beast` number, since 2 + 142 + 488 + 27 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21424882698 and 21424882707.

It is not an unprimeable number, because it can be changed into a prime (21424882753) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 212127502 + ... + 212127602.

It is an arithmetic number, because the mean of its divisors is an integer number (93268800).

Almost surely, 2^21424882752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21424882752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41784422400).

21424882752 is an abundant number, since it is smaller than the sum of its proper divisors (62143962048).

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

21424882752 is a wasteful number, since it uses less digits than its factorization.

21424882752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its digits is 573440, while the sum is 45.

The spelling of 21424882752 in words is "twenty-one billion, four hundred twenty-four million, eight hundred eighty-two thousand, seven hundred fifty-two".