21034616328 has 512 divisors, whose sum is σ = 69656371200. Its totient is φ = 5816448000.

The previous prime is 21034616297. The next prime is 21034616381. The reversal of 21034616328 is 82361643012.

21034616328 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 4 + 616 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21034616292 and 21034616301.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 204219525 + ... + 204219627.

It is an arithmetic number, because the mean of its divisors is an integer number (136047600).

Almost surely, 2^21034616328 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 21034616328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34828185600).

21034616328 is an abundant number, since it is smaller than the sum of its proper divisors (48621754872).

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

21034616328 is a wasteful number, since it uses less digits than its factorization.

21034616328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 21034616328 in words is "twenty-one billion, thirty-four million, six hundred sixteen thousand, three hundred twenty-eight".