21874200560 has 80 divisors (see below), whose sum is σ = 53912817216. Its totient is φ = 8225255424.

The previous prime is 21874200529. The next prime is 21874200571. The reversal of 21874200560 is 6500247812.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 21874200560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1197254 + ... + 1215386.

Almost surely, 2^21874200560 is an apocalyptic number.

21874200560 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 21874200560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26956408608).

21874200560 is an abundant number, since it is smaller than the sum of its proper divisors (32038616656).

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

21874200560 is a wasteful number, since it uses less digits than its factorization.

21874200560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19050 (or 19044 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 21874200560 in words is "twenty-one billion, eight hundred seventy-four million, two hundred thousand, five hundred sixty".