16297075600 has 135 divisors (see below), whose sum is σ = 42483752499. Its totient is φ = 6005126400.

The previous prime is 16297075559. The next prime is 16297075607. The reversal of 16297075600 is 657079261.

The square root of 16297075600 is 127660.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4200595344 + 12096480256 = 64812^2 + 109984^2 .

It is a super-2 number, since 2×16297075600² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16297075607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33191355 + ... + 33191845.

Almost surely, 2^16297075600 is an apocalyptic number.

16297075600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16297075600 is the 127660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16297075600

16297075600 is an abundant number, since it is smaller than the sum of its proper divisors (26186676899).

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

16297075600 is an equidigital number, since it uses as much as digits as its factorization.

16297075600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The spelling of 16297075600 in words is "sixteen billion, two hundred ninety-seven million, seventy-five thousand, six hundred".