16138932480 has 864 divisors, whose sum is σ = 65086519680. Its totient is φ = 3795517440.

The previous prime is 16138932479. The next prime is 16138932487. The reversal of 16138932480 is 8423983161.

16138932480 is a `hidden beast` number, since 1 + 6 + 138 + 9 + 32 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16138932487) 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, 181336276 + ... + 181336364.

It is an arithmetic number, because the mean of its divisors is an integer number (75331620).

Almost surely, 2^16138932480 is an apocalyptic number.

16138932480 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 16138932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32543259840).

16138932480 is an abundant number, since it is smaller than the sum of its proper divisors (48947587200).

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

16138932480 is an equidigital number, since it uses as much as digits as its factorization.

16138932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 16138932480 in words is "sixteen billion, one hundred thirty-eight million, nine hundred thirty-two thousand, four hundred eighty".