16080396800 has 240 divisors, whose sum is σ = 43970201352. Its totient is φ = 5790105600.

The previous prime is 16080396763. The next prime is 16080396821. The reversal of 16080396800 is 869308061.

It is a happy number.

16080396800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2426941696 + 13653455104 = 49264^2 + 116848^2 .

It is a super-2 number, since 2×16080396800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

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 23 ways as a sum of consecutive naturals, for example, 6821222 + ... + 6823578.

Almost surely, 2^16080396800 is an apocalyptic number.

16080396800 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 16080396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21985100676).

16080396800 is an abundant number, since it is smaller than the sum of its proper divisors (27889804552).

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

16080396800 is a wasteful number, since it uses less digits than its factorization.

16080396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 16080396800 in words is "sixteen billion, eighty million, three hundred ninety-six thousand, eight hundred".