16109079168000 has 2112 divisors, whose sum is σ = 69658847451648. Its totient is φ = 3217430937600.

The previous prime is 16109079167939. The next prime is 16109079168001. The reversal of 16109079168000 is 86197090161.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16109079168001) 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 191 ways as a sum of consecutive naturals, for example, 12614783362 + ... + 12614784638.

Almost surely, 2^{16109079168000} is an apocalyptic number.

16109079168000 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 16109079168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34829423725824).

16109079168000 is an abundant number, since it is smaller than the sum of its proper divisors (53549768283648).

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

16109079168000 is a wasteful number, since it uses less digits than its factorization.

16109079168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 48.

The spelling of 16109079168000 in words is "sixteen trillion, one hundred nine billion, seventy-nine million, one hundred sixty-eight thousand".