16814135520 has 960 divisors, whose sum is σ = 74688324480. Its totient is φ = 3467722752.

The previous prime is 16814135431. The next prime is 16814135521. The reversal of 16814135520 is 2553141861.

16814135520 is a `hidden beast` number, since 1 + 68 + 1 + 41 + 3 + 552 + 0 = 666.

16814135520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16814135521) 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 159 ways as a sum of consecutive naturals, for example, 62505946 + ... + 62506214.

It is an arithmetic number, because the mean of its divisors is an integer number (77800338).

Almost surely, 2^16814135520 is an apocalyptic number.

16814135520 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 16814135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37344162240).

16814135520 is an abundant number, since it is smaller than the sum of its proper divisors (57874188960).

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

16814135520 is a wasteful number, since it uses less digits than its factorization.

16814135520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 16814135520 in words is "sixteen billion, eight hundred fourteen million, one hundred thirty-five thousand, five hundred twenty".