15916206816 has 144 divisors (see below), whose sum is σ = 47473249824. Its totient is φ = 5048558592.

The previous prime is 15916206811. The next prime is 15916206829. The reversal of 15916206816 is 61860261951.

15916206816 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 620 + 6 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15916206811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1298830 + ... + 1311026.

It is an arithmetic number, because the mean of its divisors is an integer number (329675346).

Almost surely, 2^15916206816 is an apocalyptic number.

15916206816 is a gapful number since it is divisible by the number (16) 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 15916206816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23736624912).

15916206816 is an abundant number, since it is smaller than the sum of its proper divisors (31557043008).

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

15916206816 is a wasteful number, since it uses less digits than its factorization.

15916206816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12433 (or 12422 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 15916206816 in words is "fifteen billion, nine hundred sixteen million, two hundred six thousand, eight hundred sixteen".