21645127296 has 192 divisors, whose sum is σ = 67496476320. Its totient is φ = 6618433536.

The previous prime is 21645127261. The next prime is 21645127297. The reversal of 21645127296 is 69272154612.

21645127296 is a `hidden beast` number, since 2 + 1 + 64 + 512 + 72 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (21645127297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2436655 + ... + 2445521.

Almost surely, 2^21645127296 is an apocalyptic number.

21645127296 is a gapful number since it is divisible by the number (26) 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 21645127296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33748238160).

21645127296 is an abundant number, since it is smaller than the sum of its proper divisors (45851349024).

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

21645127296 is a wasteful number, since it uses less digits than its factorization.

21645127296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9063 (or 9048 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 21645127296 in words is "twenty-one billion, six hundred forty-five million, one hundred twenty-seven thousand, two hundred ninety-six".