16076080800 has 288 divisors, whose sum is σ = 62615367360. Its totient is φ = 3957120000.

The previous prime is 16076080799. The next prime is 16076080807. The reversal of 16076080800 is 808067061.

16076080800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (16076080807) 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 47 ways as a sum of consecutive naturals, for example, 252175 + ... + 309425.

It is an arithmetic number, because the mean of its divisors is an integer number (217414470).

Almost surely, 2^16076080800 is an apocalyptic number.

16076080800 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 16076080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31307683680).

16076080800 is an abundant number, since it is smaller than the sum of its proper divisors (46539286560).

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

16076080800 is a wasteful number, since it uses less digits than its factorization.

16076080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57293 (or 57274 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 16076080800 in words is "sixteen billion, seventy-six million, eighty thousand, eight hundred".