16775430400 has 81 divisors (see below), whose sum is σ = 41547473821. Its totient is φ = 6706027520.

The previous prime is 16775430359. The next prime is 16775430421. The reversal of 16775430400 is 403457761.

The square root of 16775430400 is 129520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6039154944 + 10736275456 = 77712^2 + 103616^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16775430400.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10360791 + ... + 10362409.

Almost surely, 2^16775430400 is an apocalyptic number.

16775430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16775430400 is the 129520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16775430400

16775430400 is an abundant number, since it is smaller than the sum of its proper divisors (24772043421).

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

16775430400 is an frugal number, since it uses more digits than its factorization.

16775430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 16775430400 in words is "sixteen billion, seven hundred seventy-five million, four hundred thirty thousand, four hundred".