21753204480 has 864 divisors, whose sum is σ = 90996132864. Its totient is φ = 4873125888.

The previous prime is 21753204427. The next prime is 21753204503. The reversal of 21753204480 is 8440235712.

It is a happy number.

21753204480 is a `hidden beast` number, since 2 + 1 + 7 + 532 + 0 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211196109 + ... + 211196211.

Almost surely, 2^21753204480 is an apocalyptic number.

21753204480 is a gapful number since it is divisible by the number (20) 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 21753204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45498066432).

21753204480 is an abundant number, since it is smaller than the sum of its proper divisors (69242928384).

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

21753204480 is an equidigital number, since it uses as much as digits as its factorization.

21753204480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 21753204480 in words is "twenty-one billion, seven hundred fifty-three million, two hundred four thousand, four hundred eighty".