21753704448 has 234 divisors, whose sum is σ = 73101431364. Its totient is φ = 6214828032.

The previous prime is 21753704393. The next prime is 21753704459. The reversal of 21753704448 is 84440735712.

21753704448 is a `hidden beast` number, since 2 + 175 + 37 + 0 + 4 + 448 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1800315 + ... + 1812357.

Almost surely, 2^21753704448 is an apocalyptic number.

21753704448 is a gapful number since it is divisible by the number (28) 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 21753704448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36550715682).

21753704448 is an abundant number, since it is smaller than the sum of its proper divisors (51347726916).

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

21753704448 is a wasteful number, since it uses less digits than its factorization.

21753704448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12087 (or 12055 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 21753704448 in words is "twenty-one billion, seven hundred fifty-three million, seven hundred four thousand, four hundred forty-eight".