21905214239052 has 288 divisors, whose sum is σ = 59021156113920. Its totient is φ = 7101486120960.

The previous prime is 21905214239023. The next prime is 21905214239113. The reversal of 21905214239052 is 25093241250912.

21905214239052 is a `hidden beast` number, since 2 + 1 + 9 + 0 + 521 + 42 + 39 + 0 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21905214238989 and 21905214239007.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4404826438 + ... + 4404831410.

It is an arithmetic number, because the mean of its divisors is an integer number (204934569840).

Almost surely, 2^{21905214239052} 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 21905214239052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29510578056960).

21905214239052 is an abundant number, since it is smaller than the sum of its proper divisors (37115941874868).

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

21905214239052 is a wasteful number, since it uses less digits than its factorization.

21905214239052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5915 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

Adding to 21905214239052 its reverse (25093241250912), we get a palindrome (46998455489964).

The spelling of 21905214239052 in words is "twenty-one trillion, nine hundred five billion, two hundred fourteen million, two hundred thirty-nine thousand, fifty-two".