21067227360 has 768 divisors, whose sum is σ = 81749606400. Its totient is φ = 5047805952.

The previous prime is 21067227359. The next prime is 21067227383. The reversal of 21067227360 is 6372276012.

It is a happy number.

21067227360 is a `hidden beast` number, since 2 + 10 + 67 + 227 + 360 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165883617 + ... + 165883743.

It is an arithmetic number, because the mean of its divisors is an integer number (106444800).

Almost surely, 2^21067227360 is an apocalyptic number.

21067227360 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 21067227360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40874803200).

21067227360 is an abundant number, since it is smaller than the sum of its proper divisors (60682379040).

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

21067227360 is a wasteful number, since it uses less digits than its factorization.

21067227360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 21067227360 in words is "twenty-one billion, sixty-seven million, two hundred twenty-seven thousand, three hundred sixty".