16138388684800 has 360 divisors, whose sum is σ = 40707108876896. Its totient is φ = 6345468149760.

The previous prime is 16138388684729. The next prime is 16138388684801. The reversal of 16138388684800 is 848688383161.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (16138388684801) 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, 11152997677 + ... + 11152999123.

Almost surely, 2^{16138388684800} is an apocalyptic number.

16138388684800 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 16138388684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20353554438448).

16138388684800 is an abundant number, since it is smaller than the sum of its proper divisors (24568720192096).

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

16138388684800 is an equidigital number, since it uses as much as digits as its factorization.

16138388684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 64.

The spelling of 16138388684800 in words is "sixteen trillion, one hundred thirty-eight billion, three hundred eighty-eight million, six hundred eighty-four thousand, eight hundred".