22129067704320 has 1680 divisors, whose sum is σ = 85775609259648. Its totient is φ = 5457900994560.

The previous prime is 22129067704279. The next prime is 22129067704333. The reversal of 22129067704320 is 2340776092122.

22129067704320 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 90 + 67 + 70 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 72081653607 + ... + 72081653913.

Almost surely, 2^{22129067704320} is an apocalyptic number.

22129067704320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22129067704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42887804629824).

22129067704320 is an abundant number, since it is smaller than the sum of its proper divisors (63646541555328).

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

22129067704320 is an frugal number, since it uses more digits than its factorization.

22129067704320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 22129067704320 in words is "twenty-two trillion, one hundred twenty-nine billion, sixty-seven million, seven hundred four thousand, three hundred twenty".