21473424000 has 896 divisors, whose sum is σ = 91828788480. Its totient is φ = 4889548800.

The previous prime is 21473423953. The next prime is 21473424019. The reversal of 21473424000 is 42437412.

21473424000 is a `hidden beast` number, since 214 + 7 + 3 + 42 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×21473424000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 81647869 + ... + 81648131.

Almost surely, 2^21473424000 is an apocalyptic number.

21473424000 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 21473424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45914394240).

21473424000 is an abundant number, since it is smaller than the sum of its proper divisors (70355364480).

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

21473424000 is an frugal number, since it uses more digits than its factorization.

21473424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 21473424000 in words is "twenty-one billion, four hundred seventy-three million, four hundred twenty-four thousand".