21322032322032 has 320 divisors, whose sum is σ = 66943981977600. Its totient is φ = 6496900151040.

The previous prime is 21322032321971. The next prime is 21322032322051. The reversal of 21322032322032 is 23022323022312.

21322032322032 is a `hidden beast` number, since 2 + 1 + 3 + 220 + 3 + 232 + 203 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21322032321987 and 21322032322005.

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, 97648657 + ... + 97866767.

It is an arithmetic number, because the mean of its divisors is an integer number (209199943680).

Almost surely, 2^{21322032322032} 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 21322032322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33471990988800).

21322032322032 is an abundant number, since it is smaller than the sum of its proper divisors (45621949655568).

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

21322032322032 is a wasteful number, since it uses less digits than its factorization.

21322032322032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218270 (or 218232 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 21322032322032 its reverse (23022323022312), we get a palindrome (44344355344344).

The spelling of 21322032322032 in words is "twenty-one trillion, three hundred twenty-two billion, thirty-two million, three hundred twenty-two thousand, thirty-two".