16518727680 has 768 divisors, whose sum is σ = 68685926400. Its totient is φ = 3291217920.

The previous prime is 16518727669. The next prime is 16518727681. The reversal of 16518727680 is 8672781561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (16518727681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53114725 + ... + 53115035.

It is an arithmetic number, because the mean of its divisors is an integer number (89434800).

Almost surely, 2^16518727680 is an apocalyptic number.

16518727680 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 16518727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34342963200).

16518727680 is an abundant number, since it is smaller than the sum of its proper divisors (52167198720).

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

16518727680 is a wasteful number, since it uses less digits than its factorization.

16518727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 16518727680 in words is "sixteen billion, five hundred eighteen million, seven hundred twenty-seven thousand, six hundred eighty".