16186968720 has 480 divisors, whose sum is σ = 61231497600. Its totient is φ = 3973971456.

The previous prime is 16186968703. The next prime is 16186968731. The reversal of 16186968720 is 2786968161.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42709491 + ... + 42709869.

It is an arithmetic number, because the mean of its divisors is an integer number (127565620).

Almost surely, 2^16186968720 is an apocalyptic number.

16186968720 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 16186968720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30615748800).

16186968720 is an abundant number, since it is smaller than the sum of its proper divisors (45044528880).

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

16186968720 is an equidigital number, since it uses as much as digits as its factorization.

16186968720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

It can be divided in two parts, 16186 and 968720, that added together give a triangular number (984906 = T₁₄₀₃).

The spelling of 16186968720 in words is "sixteen billion, one hundred eighty-six million, nine hundred sixty-eight thousand, seven hundred twenty".