22405705470720 has 1728 divisors, whose sum is σ = 94336512883200. Its totient is φ = 4991795527680.

The previous prime is 22405705470713. The next prime is 22405705470761. The reversal of 22405705470720 is 2707450750422.

22405705470720 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 570 + 5 + 4 + 7 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17796429451 + ... + 17796430709.

It is an arithmetic number, because the mean of its divisors is an integer number (54592889400).

Almost surely, 2^{22405705470720} is an apocalyptic number.

22405705470720 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 22405705470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47168256441600).

22405705470720 is an abundant number, since it is smaller than the sum of its proper divisors (71930807412480).

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

22405705470720 is a wasteful number, since it uses less digits than its factorization.

22405705470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 45.

The spelling of 22405705470720 in words is "twenty-two trillion, four hundred five billion, seven hundred five million, four hundred seventy thousand, seven hundred twenty".