16816400520 has 96 divisors (see below), whose sum is σ = 52249129920. Its totient is φ = 4329713920.

The previous prime is 16816400501. The next prime is 16816400521. The reversal of 16816400520 is 2500461861.

16816400520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16816400521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17605 + ... + 184235.

It is an arithmetic number, because the mean of its divisors is an integer number (544261770).

Almost surely, 2^16816400520 is an apocalyptic number.

16816400520 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 16816400520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26124564960).

16816400520 is an abundant number, since it is smaller than the sum of its proper divisors (35432729400).

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

16816400520 is a wasteful number, since it uses less digits than its factorization.

16816400520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166703 (or 166670 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 16816400520 in words is "sixteen billion, eight hundred sixteen million, four hundred thousand, five hundred twenty".