21000330280368 has 320 divisors, whose sum is σ = 68999512320000. Its totient is φ = 6072891273216.

The previous prime is 21000330280367. The next prime is 21000330280373. The reversal of 21000330280368 is 86308203300012.

21000330280368 is a `hidden beast` number, since 2 + 10 + 0 + 0 + 3 + 3 + 0 + 280 + 368 = 666.

It is a super-2 number, since 2×21000330280368² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21000330280367) 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 63 ways as a sum of consecutive naturals, for example, 3129033 + ... + 7196631.

It is an arithmetic number, because the mean of its divisors is an integer number (215623476000).

Almost surely, 2^{21000330280368} 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 21000330280368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34499756160000).

21000330280368 is an abundant number, since it is smaller than the sum of its proper divisors (47999182039632).

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

21000330280368 is a wasteful number, since it uses less digits than its factorization.

21000330280368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067689 (or 4067677 counting only the distinct ones).

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

The spelling of 21000330280368 in words is "twenty-one trillion, three hundred thirty million, two hundred eighty thousand, three hundred sixty-eight".