16513235440 has 160 divisors (see below), whose sum is σ = 43160112576. Its totient is φ = 5835448320.

The previous prime is 16513235393. The next prime is 16513235441. The reversal of 16513235440 is 4453231561.

It is a junction number, because it is equal to n+sod(n) for n = 16513235396 and 16513235405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16513235441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2256267 + ... + 2263573.

Almost surely, 2^16513235440 is an apocalyptic number.

16513235440 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 16513235440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21580056288).

16513235440 is an abundant number, since it is smaller than the sum of its proper divisors (26646877136).

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

16513235440 is a wasteful number, since it uses less digits than its factorization.

16513235440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7427 (or 7421 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 16513235440 in words is "sixteen billion, five hundred thirteen million, two hundred thirty-five thousand, four hundred forty".