21292224800 has 486 divisors, whose sum is σ = 67469543001. Its totient is φ = 6537484800.

The previous prime is 21292224797. The next prime is 21292224803. The reversal of 21292224800 is 842229212.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (21292224797) and next prime (21292224803).

It can be written as a sum of positive squares in 2 ways, for example, as 20866380304 + 425844496 = 144452^2 + 20636^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=103180.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (21292224803) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 317794367 + ... + 317794433.

Almost surely, 2^21292224800 is an apocalyptic number.

21292224800 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 21292224800

21292224800 is an abundant number, since it is smaller than the sum of its proper divisors (46177318201).

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

21292224800 is a wasteful number, since it uses less digits than its factorization.

21292224800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Multiplying 21292224800 by its sum of digits (32), we get a square (681351193600 = 825440²).

21292224800 divided by its sum of digits (32) gives a square (665382025 = 25795²).

The spelling of 21292224800 in words is "twenty-one billion, two hundred ninety-two million, two hundred twenty-four thousand, eight hundred".