21052434515328 has 512 divisors, whose sum is σ = 64215136972800. Its totient is φ = 6786494668800.

The previous prime is 21052434515291. The next prime is 21052434515339. The reversal of 21052434515328 is 82351543425012.

It is a happy number.

21052434515328 is a `hidden beast` number, since 2 + 1 + 0 + 524 + 3 + 4 + 51 + 53 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4831862526 + ... + 4831866882.

It is an arithmetic number, because the mean of its divisors is an integer number (125420189400).

Almost surely, 2^{21052434515328} 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 21052434515328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32107568486400).

21052434515328 is an abundant number, since it is smaller than the sum of its proper divisors (43162702457472).

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

21052434515328 is a wasteful number, since it uses less digits than its factorization.

21052434515328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4775 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 21052434515328 in words is "twenty-one trillion, fifty-two billion, four hundred thirty-four million, five hundred fifteen thousand, three hundred twenty-eight".