16519711518816 has 96 divisors (see below), whose sum is σ = 47383620496128. Its totient is φ = 4997806640640.

The previous prime is 16519711518787. The next prime is 16519711518847. The reversal of 16519711518816 is 61881511791561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 16519711518816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12112596 + ... + 13407251.

It is an arithmetic number, because the mean of its divisors is an integer number (493579380168).

Almost surely, 2^{16519711518816} is an apocalyptic number.

16519711518816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16519711518816 is an abundant number, since it is smaller than the sum of its proper divisors (30863908977312).

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

16519711518816 is a wasteful number, since it uses less digits than its factorization.

16519711518816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25520484 (or 25520476 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 60.

The spelling of 16519711518816 in words is "sixteen trillion, five hundred nineteen billion, seven hundred eleven million, five hundred eighteen thousand, eight hundred sixteen".