16074400800 has 72 divisors (see below), whose sum is σ = 52322182416. Its totient is φ = 4286506240.

The previous prime is 16074400753. The next prime is 16074400801. The reversal of 16074400800 is 800447061.

16074400800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16074400800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (16074400801) 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 11 ways as a sum of consecutive naturals, for example, 3346434 + ... + 3351233.

It is an arithmetic number, because the mean of its divisors is an integer number (726696978).

Almost surely, 2^16074400800 is an apocalyptic number.

16074400800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16074400800 is an abundant number, since it is smaller than the sum of its proper divisors (36247781616).

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

16074400800 is a wasteful number, since it uses less digits than its factorization.

16074400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6697690 (or 6697677 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

Adding to 16074400800 its reverse (800447061), we get a palindrome (16874847861).

The spelling of 16074400800 in words is "sixteen billion, seventy-four million, four hundred thousand, eight hundred".