16275394437120 has 4032 divisors, whose sum is σ = 78120506370816. Its totient is φ = 3210529996800.

The previous prime is 16275394437109. The next prime is 16275394437227. The reversal of 16275394437120 is 2173449357261.

16275394437120 is a `hidden beast` number, since 1 + 6 + 2 + 75 + 3 + 9 + 443 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

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 287 ways as a sum of consecutive naturals, for example, 107784069045 + ... + 107784069195.

It is an arithmetic number, because the mean of its divisors is an integer number (19375125588).

Almost surely, 2^{16275394437120} is an apocalyptic number.

16275394437120 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 16275394437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060253185408).

16275394437120 is an abundant number, since it is smaller than the sum of its proper divisors (61845111933696).

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

16275394437120 is a wasteful number, since it uses less digits than its factorization.

16275394437120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 16275394437120 in words is "sixteen trillion, two hundred seventy-five billion, three hundred ninety-four million, four hundred thirty-seven thousand, one hundred twenty".