16116127040000 has 800 divisors, whose sum is σ = 44648864789760. Its totient is φ = 5772312576000.

The previous prime is 16116127039967. The next prime is 16116127040021. The reversal of 16116127040000 is 4072161161.

It is a tau number, because it is divible by the number of its divisors (800).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27177279704 + ... + 27177280296.

Almost surely, 2^{16116127040000} is an apocalyptic number.

16116127040000 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 16116127040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22324432394880).

16116127040000 is an abundant number, since it is smaller than the sum of its proper divisors (28532737749760).

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

16116127040000 is an equidigital number, since it uses as much as digits as its factorization.

16116127040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 16116127040000 in words is "sixteen trillion, one hundred sixteen billion, one hundred twenty-seven million, forty thousand".