5797267200 has 540 divisors, whose sum is σ = 21943079928. Its totient is φ = 1509580800.

The previous prime is 5797267193. The next prime is 5797267211. The reversal of 5797267200 is 27627975.

5797267200 is a `hidden beast` number, since 579 + 7 + 2 + 6 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27475095 + ... + 27475305.

Almost surely, 2^5797267200 is an apocalyptic number.

5797267200 is a gapful number since it is divisible by the number (50) 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 5797267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10971539964).

5797267200 is an abundant number, since it is smaller than the sum of its proper divisors (16145812728).

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

5797267200 is a wasteful number, since it uses less digits than its factorization.

5797267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 5797267200 is about 76139.7872337453. The cubic root of 5797267200 is about 1796.4195493741.

The spelling of 5797267200 in words is "five billion, seven hundred ninety-seven million, two hundred sixty-seven thousand, two hundred".