21929505505830 has 384 divisors, whose sum is σ = 62626874768640. Its totient is φ = 5291382620160.

The previous prime is 21929505505793. The next prime is 21929505505867. The reversal of 21929505505830 is 3850550592912.

21929505505830 is a `hidden beast` number, since 2 + 1 + 9 + 2 + 9 + 5 + 0 + 5 + 50 + 583 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21929505505793) and next prime (21929505505867).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13234462362 + ... + 13234464018.

It is an arithmetic number, because the mean of its divisors is an integer number (163090819710).

Almost surely, 2^{21929505505830} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21929505505830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31313437384320).

21929505505830 is an abundant number, since it is smaller than the sum of its proper divisors (40697369262810).

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

21929505505830 is a wasteful number, since it uses less digits than its factorization.

21929505505830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The spelling of 21929505505830 in words is "twenty-one trillion, nine hundred twenty-nine billion, five hundred five million, five hundred five thousand, eight hundred thirty".