16889601600 has 525 divisors, whose sum is σ = 65530896497. Its totient is φ = 4266846720.

The previous prime is 16889601583. The next prime is 16889601601. The reversal of 16889601600 is 610698861.

It is a happy number.

The square root of 16889601600 is 129960.

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., 6080256576 + 10809345024 = 77976^2 + 103968^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16889601601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 888926391 + ... + 888926409.

Almost surely, 2^16889601600 is an apocalyptic number.

16889601600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16889601600 is the 129960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16889601600

16889601600 is an abundant number, since it is smaller than the sum of its proper divisors (48641294897).

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

16889601600 is an frugal number, since it uses more digits than its factorization.

16889601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 16889601600 in words is "sixteen billion, eight hundred eighty-nine million, six hundred one thousand, six hundred".