21703912829424 has 1200 divisors, whose sum is σ = 81973428793344. Its totient is φ = 5401659985920.

The previous prime is 21703912829383. The next prime is 21703912829429. The reversal of 21703912829424 is 42492821930712.

21703912829424 is a `hidden beast` number, since 2 + 1 + 70 + 3 + 9 + 128 + 29 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21703912829429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3408809889 + ... + 3408816255.

Almost surely, 2^{21703912829424} is an apocalyptic number.

21703912829424 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 21703912829424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40986714396672).

21703912829424 is an abundant number, since it is smaller than the sum of its proper divisors (60269515963920).

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

21703912829424 is a wasteful number, since it uses less digits than its factorization.

21703912829424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6496 (or 6450 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 21703912829424 in words is "twenty-one trillion, seven hundred three billion, nine hundred twelve million, eight hundred twenty-nine thousand, four hundred twenty-four".