21016600064352 has 192 divisors, whose sum is σ = 61968945931200. Its totient is φ = 6929044070400.

The previous prime is 21016600064351. The next prime is 21016600064423. The reversal of 21016600064352 is 25346000661012.

21016600064352 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 6 + 6 + 0 + 0 + 0 + 643 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21016600064351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85133674 + ... + 85380182.

It is an arithmetic number, because the mean of its divisors is an integer number (322754926725).

Almost surely, 2^{21016600064352} 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 21016600064352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30984472965600).

21016600064352 is an abundant number, since it is smaller than the sum of its proper divisors (40952345866848).

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

21016600064352 is a wasteful number, since it uses less digits than its factorization.

21016600064352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247606 (or 247592 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 21016600064352 in words is "twenty-one trillion, sixteen billion, six hundred million, sixty-four thousand, three hundred fifty-two".