16518049013760 has 448 divisors, whose sum is σ = 61133215352832. Its totient is φ = 3730049335296.

The previous prime is 16518049013731. The next prime is 16518049013797. The reversal of 16518049013760 is 6731094081561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71277597 + ... + 71508963.

It is an arithmetic number, because the mean of its divisors is an integer number (136458069984).

Almost surely, 2^{16518049013760} is an apocalyptic number.

16518049013760 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 16518049013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30566607676416).

16518049013760 is an abundant number, since it is smaller than the sum of its proper divisors (44615166339072).

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

16518049013760 is an equidigital number, since it uses as much as digits as its factorization.

16518049013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231491 (or 231467 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 16518049013760 in words is "sixteen trillion, five hundred eighteen billion, forty-nine million, thirteen thousand, seven hundred sixty".