6045253200 has 360 divisors, whose sum is σ = 24564636096. Its totient is φ = 1347840000.

The previous prime is 6045253187. The next prime is 6045253211. The reversal of 6045253200 is 23525406.

6045253200 is a `hidden beast` number, since 6 + 0 + 452 + 5 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×6045253200² = 73090172504220480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1030275 + ... + 1036125.

Almost surely, 2^6045253200 is an apocalyptic number.

6045253200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6045253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12282318048).

6045253200 is an abundant number, since it is smaller than the sum of its proper divisors (18519382896).

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

6045253200 is a wasteful number, since it uses less digits than its factorization.

6045253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 6045253200 is about 77751.2263568878. The cubic root of 6045253200 is about 1821.6775178600.

Adding to 6045253200 its reverse (23525406), we get a palindrome (6068778606).

The spelling of 6045253200 in words is "six billion, forty-five million, two hundred fifty-three thousand, two hundred".