6009165849600 has 297 divisors, whose sum is σ = 21519870418137. Its totient is φ = 1602130452480.

The previous prime is 6009165849563. The next prime is 6009165849727. The reversal of 6009165849600 is 69485619006.

It is a happy number.

The square root of 6009165849600 is 2451360.

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

6009165849600 is a `hidden beast` number, since 6 + 0 + 0 + 91 + 65 + 8 + 496 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2163299705856 + 3845866143744 = 1470816^2 + 1961088^2 .

It is a super-2 number, since 2×6009165849600² (a number of 26 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 1176650247 + ... + 1176655353.

Almost surely, 2^{6009165849600} is an apocalyptic number.

6009165849600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6009165849600 is the 2451360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6009165849600

6009165849600 is an abundant number, since it is smaller than the sum of its proper divisors (15510704568537).

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

6009165849600 is an frugal number, since it uses more digits than its factorization.

6009165849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10250 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 6009165849600 in words is "six trillion, nine billion, one hundred sixty-five million, eight hundred forty-nine thousand, six hundred".