21265082496 has 256 divisors, whose sum is σ = 72156268800. Its totient is φ = 6039429120.

The previous prime is 21265082491. The next prime is 21265082543. The reversal of 21265082496 is 69428056212.

21265082496 is a `hidden beast` number, since 21 + 2 + 65 + 0 + 82 + 496 = 666.

It is not an unprimeable number, because it can be changed into a prime (21265082491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4182676 + ... + 4187756.

It is an arithmetic number, because the mean of its divisors is an integer number (281860425).

Almost surely, 2^21265082496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21265082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36078134400).

21265082496 is an abundant number, since it is smaller than the sum of its proper divisors (50891186304).

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

21265082496 is a wasteful number, since it uses less digits than its factorization.

21265082496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 21265082496 in words is "twenty-one billion, two hundred sixty-five million, eighty-two thousand, four hundred ninety-six".