16422608424960 has 2496 divisors, whose sum is σ = 66075342278400. Its totient is φ = 3895443062784.

The previous prime is 16422608424953. The next prime is 16422608425031. The reversal of 16422608424960 is 6942480622461.

16422608424960 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 2 + 608 + 4 + 24 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16422608424897 and 16422608424906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 145332817864 + ... + 145332817976.

It is an arithmetic number, because the mean of its divisors is an integer number (26472492900).

Almost surely, 2^{16422608424960} is an apocalyptic number.

16422608424960 is a gapful number since it is divisible by the number (10) 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 16422608424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33037671139200).

16422608424960 is an abundant number, since it is smaller than the sum of its proper divisors (49652733853440).

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

16422608424960 is a wasteful number, since it uses less digits than its factorization.

16422608424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 16422608424960 in words is "sixteen trillion, four hundred twenty-two billion, six hundred eight million, four hundred twenty-four thousand, nine hundred sixty".