5997801600 has 768 divisors, whose sum is σ = 25741209600. Its totient is φ = 1335398400.

The previous prime is 5997801587. The next prime is 5997801619. The reversal of 5997801600 is 61087995.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28425495 + ... + 28425705.

It is an arithmetic number, because the mean of its divisors is an integer number (33517200).

Almost surely, 2^5997801600 is an apocalyptic number.

5997801600 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 5997801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12870604800).

5997801600 is an abundant number, since it is smaller than the sum of its proper divisors (19743408000).

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

5997801600 is a wasteful number, since it uses less digits than its factorization.

5997801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 5997801600 is about 77445.4750130697. The cubic root of 5997801600 is about 1816.8986347264.

The spelling of 5997801600 in words is "five billion, nine hundred ninety-seven million, eight hundred one thousand, six hundred".