21986730360 has 384 divisors, whose sum is σ = 86848744320. Its totient is φ = 4709154816.

The previous prime is 21986730329. The next prime is 21986730379. The reversal of 21986730360 is 6303768912.

21986730360 is a `hidden beast` number, since 219 + 8 + 6 + 73 + 0 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11008882 + ... + 11010878.

It is an arithmetic number, because the mean of its divisors is an integer number (226168605).

Almost surely, 2^21986730360 is an apocalyptic number.

21986730360 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 21986730360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43424372160).

21986730360 is an abundant number, since it is smaller than the sum of its proper divisors (64862013960).

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

21986730360 is a wasteful number, since it uses less digits than its factorization.

21986730360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 21986730360 in words is "twenty-one billion, nine hundred eighty-six million, seven hundred thirty thousand, three hundred sixty".