21930771244032 has 1584 divisors, whose sum is σ = 81822944181888. Its totient is φ = 5727356190720.

The previous prime is 21930771244021. The next prime is 21930771244079. The reversal of 21930771244032 is 23044217703912.

21930771244032 is a `hidden beast` number, since 2 + 1 + 9 + 307 + 71 + 244 + 0 + 32 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40537469682 + ... + 40537470222.

Almost surely, 2^{21930771244032} 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 21930771244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40911472090944).

21930771244032 is an abundant number, since it is smaller than the sum of its proper divisors (59892172937856).

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

21930771244032 is an equidigital number, since it uses as much as digits as its factorization.

21930771244032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

Adding to 21930771244032 its reverse (23044217703912), we get a palindrome (44974988947944).

The spelling of 21930771244032 in words is "twenty-one trillion, nine hundred thirty billion, seven hundred seventy-one million, two hundred forty-four thousand, thirty-two".