21000320032320 has 168 divisors, whose sum is σ = 73595225855736. Its totient is φ = 5494423314432.

The previous prime is 21000320032217. The next prime is 21000320032333. The reversal of 21000320032320 is 2323002300012.

It is a happy number.

21000320032320 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 0 + 320 + 0 + 323 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2511489613824 + 18488830418496 = 1584768^2 + 4299864^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21000320032293 and 21000320032302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68637717 + ... + 68942996.

Almost surely, 2^{21000320032320} is an apocalyptic number.

21000320032320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21000320032320 is an abundant number, since it is smaller than the sum of its proper divisors (52594905823416).

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

21000320032320 is a wasteful number, since it uses less digits than its factorization.

21000320032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137580789 (or 137580776 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21000320032320 its reverse (2323002300012), we get a palindrome (23323322332332).

The spelling of 21000320032320 in words is "twenty-one trillion, three hundred twenty million, thirty-two thousand, three hundred twenty".