21424524000 has 384 divisors, whose sum is σ = 77373563904. Its totient is φ = 5139200000.

The previous prime is 21424523983. The next prime is 21424524007. The reversal of 21424524000 is 42542412.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21424524007) 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, 13331197 + ... + 13332803.

It is an arithmetic number, because the mean of its divisors is an integer number (201493656).

Almost surely, 2^21424524000 is an apocalyptic number.

21424524000 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 21424524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38686781952).

21424524000 is an abundant number, since it is smaller than the sum of its proper divisors (55949039904).

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

21424524000 is a wasteful number, since it uses less digits than its factorization.

21424524000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The spelling of 21424524000 in words is "twenty-one billion, four hundred twenty-four million, five hundred twenty-four thousand".