16109458194960 has 1080 divisors, whose sum is σ = 60749468497224. Its totient is φ = 3823207464960.

The previous prime is 16109458194943. The next prime is 16109458194961. The reversal of 16109458194960 is 6949185490161.

16109458194960 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 9 + 4 + 581 + 9 + 49 + 6 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10476848345616 + 5632609849344 = 3236796^2 + 2373312^2 .

It is a super-3 number, since 3×16109458194960³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16109458194961) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 19621751350 + ... + 19621752170.

Almost surely, 2^{16109458194960} is an apocalyptic number.

16109458194960 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 16109458194960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30374734248612).

16109458194960 is an abundant number, since it is smaller than the sum of its proper divisors (44640010302264).

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

16109458194960 is a wasteful number, since it uses less digits than its factorization.

16109458194960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 16109458194960 in words is "sixteen trillion, one hundred nine billion, four hundred fifty-eight million, one hundred ninety-four thousand, nine hundred sixty".