16009868160 has 1536 divisors, whose sum is σ = 72930816000. Its totient is φ = 3284582400.

The previous prime is 16009868153. The next prime is 16009868183. The reversal of 16009868160 is 6186890061.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 516447345 + ... + 516447375.

It is an arithmetic number, because the mean of its divisors is an integer number (47481000).

Almost surely, 2^16009868160 is an apocalyptic number.

16009868160 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 16009868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36465408000).

16009868160 is an abundant number, since it is smaller than the sum of its proper divisors (56920947840).

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

16009868160 is a wasteful number, since it uses less digits than its factorization.

16009868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 16009868160 in words is "sixteen billion, nine million, eight hundred sixty-eight thousand, one hundred sixty".