21249088224 has 192 divisors, whose sum is σ = 69004970496. Its totient is φ = 5575256064.

The previous prime is 21249088219. The next prime is 21249088297. The reversal of 21249088224 is 42288094212.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1714819 + ... + 1727165.

It is an arithmetic number, because the mean of its divisors is an integer number (359400888).

Almost surely, 2^21249088224 is an apocalyptic number.

21249088224 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 21249088224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34502485248).

21249088224 is an abundant number, since it is smaller than the sum of its proper divisors (47755882272).

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

21249088224 is a wasteful number, since it uses less digits than its factorization.

21249088224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12577 (or 12569 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 21249088224 in words is "twenty-one billion, two hundred forty-nine million, eighty-eight thousand, two hundred twenty-four".