16113764160 has 1120 divisors, whose sum is σ = 68310617760. Its totient is φ = 3567255552.

The previous prime is 16113764153. The next prime is 16113764203. The reversal of 16113764160 is 6146731161.

16113764160 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 3 + 7 + 641 + 6 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4041907776 + 12071856384 = 63576^2 + 109872^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 166121232 + ... + 166121328.

It is an arithmetic number, because the mean of its divisors is an integer number (60991623).

Almost surely, 2^16113764160 is an apocalyptic number.

16113764160 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 16113764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34155308880).

16113764160 is an abundant number, since it is smaller than the sum of its proper divisors (52196853600).

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

16113764160 is a wasteful number, since it uses less digits than its factorization.

16113764160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 16113764160 in words is "sixteen billion, one hundred thirteen million, seven hundred sixty-four thousand, one hundred sixty".