21543414480 has 600 divisors, whose sum is σ = 91646232480. Its totient is φ = 4663733760.

The previous prime is 21543414479. The next prime is 21543414523. The reversal of 21543414480 is 8441434512.

21543414480 is a `hidden beast` number, since 2 + 1 + 5 + 434 + 144 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6031095 + ... + 6034665.

Almost surely, 2^21543414480 is an apocalyptic number.

21543414480 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 21543414480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45823116240).

21543414480 is an abundant number, since it is smaller than the sum of its proper divisors (70102818000).

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

21543414480 is a wasteful number, since it uses less digits than its factorization.

21543414480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 21543414480 its reverse (8441434512), we get a palindrome (29984848992).

The spelling of 21543414480 in words is "twenty-one billion, five hundred forty-three million, four hundred fourteen thousand, four hundred eighty".