16071727104 has 480 divisors, whose sum is σ = 52443190800. Its totient is φ = 4883742720.

The previous prime is 16071727103. The next prime is 16071727159. The reversal of 16071727104 is 40172717061.

16071727104 is a `hidden beast` number, since 1 + 607 + 17 + 27 + 10 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16071727103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 115623867 + ... + 115624005.

Almost surely, 2^16071727104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16071727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26221595400).

16071727104 is an abundant number, since it is smaller than the sum of its proper divisors (36371463696).

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

16071727104 is a wasteful number, since it uses less digits than its factorization.

16071727104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 16071727104 in words is "sixteen billion, seventy-one million, seven hundred twenty-seven thousand, one hundred four".