16518136320 has 960 divisors, whose sum is σ = 70290215424. Its totient is φ = 3503554560.

The previous prime is 16518136279. The next prime is 16518136321. The reversal of 16518136320 is 2363181561.

16518136320 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 8 + 13 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×16518136320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16518136321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226275804 + ... + 226275876.

Almost surely, 2^16518136320 is an apocalyptic number.

16518136320 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 16518136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35145107712).

16518136320 is an abundant number, since it is smaller than the sum of its proper divisors (53772079104).

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

16518136320 is a wasteful number, since it uses less digits than its factorization.

16518136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 16518136320 in words is "sixteen billion, five hundred eighteen million, one hundred thirty-six thousand, three hundred twenty".