21868198560 has 960 divisors, whose sum is σ = 88519495680. Its totient is φ = 5046312960.

The previous prime is 21868198549. The next prime is 21868198603. The reversal of 21868198560 is 6589186812.

It is a happy number.

21868198560 is a `hidden beast` number, since 2 + 1 + 8 + 68 + 19 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21868198497 and 21868198506.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 276812601 + ... + 276812679.

It is an arithmetic number, because the mean of its divisors is an integer number (92207808).

Almost surely, 2^21868198560 is an apocalyptic number.

21868198560 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 21868198560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44259747840).

21868198560 is an abundant number, since it is smaller than the sum of its proper divisors (66651297120).

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

21868198560 is a wasteful number, since it uses less digits than its factorization.

21868198560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 21868198560 in words is "twenty-one billion, eight hundred sixty-eight million, one hundred ninety-eight thousand, five hundred sixty".