21775549360 has 80 divisors (see below), whose sum is σ = 51968861280. Its totient is φ = 8480430080.

The previous prime is 21775549351. The next prime is 21775549361. The reversal of 21775549360 is 6394557712.

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

It is not an unprimeable number, because it can be changed into a prime (21775549361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1662999 + ... + 1676041.

It is an arithmetic number, because the mean of its divisors is an integer number (649610766).

Almost surely, 2^21775549360 is an apocalyptic number.

21775549360 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 21775549360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25984430640).

21775549360 is an abundant number, since it is smaller than the sum of its proper divisors (30193311920).

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

21775549360 is a wasteful number, since it uses less digits than its factorization.

21775549360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13606 (or 13600 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 49.

The spelling of 21775549360 in words is "twenty-one billion, seven hundred seventy-five million, five hundred forty-nine thousand, three hundred sixty".