21683519424 has 448 divisors, whose sum is σ = 75053952000. Its totient is φ = 6011006976.

The previous prime is 21683519423. The next prime is 21683519441. The reversal of 21683519424 is 42491538612.

21683519424 is a `hidden beast` number, since 2 + 16 + 83 + 519 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×21683519424² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 21683519424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21683519423) 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, 95521999 + ... + 95522225.

Almost surely, 2^21683519424 is an apocalyptic number.

21683519424 is a gapful number since it is divisible by the number (24) 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 21683519424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37526976000).

21683519424 is an abundant number, since it is smaller than the sum of its proper divisors (53370432576).

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

21683519424 is a wasteful number, since it uses less digits than its factorization.

21683519424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 441 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 21683519424 in words is "twenty-one billion, six hundred eighty-three million, five hundred nineteen thousand, four hundred twenty-four".