21866200560 has 80 divisors (see below), whose sum is σ = 75316920480. Its totient is φ = 5830986240.

The previous prime is 21866200549. The next prime is 21866200567. The reversal of 21866200560 is 6500266812.

21866200560 is a `hidden beast` number, since 2 + 18 + 66 + 20 + 0 + 560 = 666.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21866200567) 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, 5059461 + ... + 5063780.

It is an arithmetic number, because the mean of its divisors is an integer number (941461506).

Almost surely, 2^21866200560 is an apocalyptic number.

21866200560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21866200560 is an abundant number, since it is smaller than the sum of its proper divisors (53450719920).

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

21866200560 is a wasteful number, since it uses less digits than its factorization.

21866200560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10123263 (or 10123251 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 21866200560 in words is "twenty-one billion, eight hundred sixty-six million, two hundred thousand, five hundred sixty".