5998017600 has 252 divisors, whose sum is σ = 22109373104. Its totient is φ = 1599367680.

The previous prime is 5998017589. The next prime is 5998017611. The reversal of 5998017600 is 67108995.

It is an interprime number because it is at equal distance from previous prime (5998017589) and next prime (5998017611).

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 381087 + ... + 396513.

Almost surely, 2^5998017600 is an apocalyptic number.

5998017600 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 5998017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11054686552).

5998017600 is an abundant number, since it is smaller than the sum of its proper divisors (16111355504).

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

5998017600 is a wasteful number, since it uses less digits than its factorization.

5998017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15464 (or 15437 counting only the distinct ones).

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

The square root of 5998017600 is about 77446.8695300204. The cubic root of 5998017600 is about 1816.9204452396.

The spelling of 5998017600 in words is "five billion, nine hundred ninety-eight million, seventeen thousand, six hundred".