21082227264 has 168 divisors, whose sum is σ = 72096965280. Its totient is φ = 6023469312.

The previous prime is 21082227247. The next prime is 21082227293. The reversal of 21082227264 is 46272228012.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39822 + ... + 209165.

Almost surely, 2^21082227264 is an apocalyptic number.

21082227264 is a gapful number since it is divisible by the number (24) 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 21082227264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36048482640).

21082227264 is an abundant number, since it is smaller than the sum of its proper divisors (51014738016).

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

21082227264 is a wasteful number, since it uses less digits than its factorization.

21082227264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249022 (or 248999 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 21082227264 in words is "twenty-one billion, eighty-two million, two hundred twenty-seven thousand, two hundred sixty-four".