16388133840 has 480 divisors, whose sum is σ = 64719607680. Its totient is φ = 3820566528.

The previous prime is 16388133833. The next prime is 16388133863. The reversal of 16388133840 is 4833188361.

16388133840 is a `hidden beast` number, since 1 + 638 + 8 + 1 + 3 + 3 + 8 + 4 + 0 = 666.

16388133840 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 (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4799974 + ... + 4803386.

It is an arithmetic number, because the mean of its divisors is an integer number (134832516).

Almost surely, 2^16388133840 is an apocalyptic number.

16388133840 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 16388133840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32359803840).

16388133840 is an abundant number, since it is smaller than the sum of its proper divisors (48331473840).

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

16388133840 is a wasteful number, since it uses less digits than its factorization.

16388133840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 16388133840 in words is "sixteen billion, three hundred eighty-eight million, one hundred thirty-three thousand, eight hundred forty".