21188029824 has 384 divisors, whose sum is σ = 69169464000. Its totient is φ = 6176636928.

The previous prime is 21188029799. The next prime is 21188029829. The reversal of 21188029824 is 42892088112.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 21188029824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21188029829) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 47189152 + ... + 47189600.

Almost surely, 2^21188029824 is an apocalyptic number.

21188029824 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 21188029824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34584732000).

21188029824 is an abundant number, since it is smaller than the sum of its proper divisors (47981434176).

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

21188029824 is a wasteful number, since it uses less digits than its factorization.

21188029824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 21188029824 in words is "twenty-one billion, one hundred eighty-eight million, twenty-nine thousand, eight hundred twenty-four".