5997441600 has 252 divisors, whose sum is σ = 21517516020. Its totient is φ = 1584230400.

The previous prime is 5997441589. The next prime is 5997441601. The reversal of 5997441600 is 61447995.

5997441600 is a `hidden beast` number, since 599 + 7 + 44 + 16 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 212926464 + 5784515136 = 14592^2 + 76056^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5997441601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1567690 + ... + 1571510.

Almost surely, 2^5997441600 is an apocalyptic number.

5997441600 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 5997441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10758758010).

5997441600 is an abundant number, since it is smaller than the sum of its proper divisors (15520074420).

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

5997441600 is a wasteful number, since it uses less digits than its factorization.

5997441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5997441600 is about 77443.1507623495. The cubic root of 5997441600 is about 1816.8622827073.

The spelling of 5997441600 in words is "five billion, nine hundred ninety-seven million, four hundred forty-one thousand, six hundred".