16109068410000 has 300 divisors, whose sum is σ = 57107484839548. Its totient is φ = 4236903936000.

The previous prime is 16109068409957. The next prime is 16109068410041. The reversal of 16109068410000 is 1486090161.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 11999739396096 + 4109329013904 = 3464064^2 + 2027148^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5344044 + ... + 7795956.

Almost surely, 2^{16109068410000} is an apocalyptic number.

16109068410000 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 16109068410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28553742419774).

16109068410000 is an abundant number, since it is smaller than the sum of its proper divisors (40998416429548).

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

16109068410000 is a wasteful number, since it uses less digits than its factorization.

16109068410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452020 (or 2451996 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 16109068410000 in words is "sixteen trillion, one hundred nine billion, sixty-eight million, four hundred ten thousand".