16242128622720 has 4096 divisors, whose sum is σ = 82535749632000. Its totient is φ = 2906676264960.

The previous prime is 16242128622691. The next prime is 16242128622743. The reversal of 16242128622720 is 2722682124261.

16242128622720 is a `hidden beast` number, since 1 + 6 + 2 + 4 + 2 + 12 + 8 + 622 + 7 + 2 + 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 (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 23991327022 + ... + 23991327698.

It is an arithmetic number, because the mean of its divisors is an integer number (20150329500).

Almost surely, 2^{16242128622720} is an apocalyptic number.

16242128622720 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 16242128622720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41267874816000).

16242128622720 is an abundant number, since it is smaller than the sum of its proper divisors (66293621009280).

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

16242128622720 is a wasteful number, since it uses less digits than its factorization.

16242128622720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 16242128622720 in words is "sixteen trillion, two hundred forty-two billion, one hundred twenty-eight million, six hundred twenty-two thousand, seven hundred twenty".