16417078427952 has 200 divisors, whose sum is σ = 49661019408000. Its totient is φ = 5229185568768.

The previous prime is 16417078427951. The next prime is 16417078427993. The reversal of 16417078427952 is 25972487071461.

16417078427952 is a `hidden beast` number, since 16 + 41 + 7 + 0 + 78 + 427 + 95 + 2 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 16417078427952.

It is not an unprimeable number, because it can be changed into a prime (16417078427951) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1394049 + ... + 5897247.

It is an arithmetic number, because the mean of its divisors is an integer number (248305097040).

Almost surely, 2^{16417078427952} is an apocalyptic number.

16417078427952 is a gapful number since it is divisible by the number (12) 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 16417078427952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24830509704000).

16417078427952 is an abundant number, since it is smaller than the sum of its proper divisors (33243940980048).

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

16417078427952 is a wasteful number, since it uses less digits than its factorization.

16417078427952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503345 (or 4503330 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 16417078427952 in words is "sixteen trillion, four hundred seventeen billion, seventy-eight million, four hundred twenty-seven thousand, nine hundred fifty-two".