5997700800 has 1008 divisors, whose sum is σ = 27514905600. Its totient is φ = 1204346880.

The previous prime is 5997700783. The next prime is 5997700829. The reversal of 5997700800 is 80077995.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 143 ways as a sum of consecutive naturals, for example, 30139101 + ... + 30139299.

Almost surely, 2^5997700800 is an apocalyptic number.

5997700800 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 5997700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13757452800).

5997700800 is an abundant number, since it is smaller than the sum of its proper divisors (21517204800).

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

5997700800 is a wasteful number, since it uses less digits than its factorization.

5997700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 5997700800 is about 77444.8242298993. The cubic root of 5997700800 is about 1816.8884563077. Note that the first 3 decimals are identical.

The spelling of 5997700800 in words is "five billion, nine hundred ninety-seven million, seven hundred thousand, eight hundred".