5198112000 has 216 divisors, whose sum is σ = 18705359400. Its totient is φ = 1386086400.

The previous prime is 5198111999. The next prime is 5198112001. The reversal of 5198112000 is 2118915.

It is an interprime number because it is at equal distance from previous prime (5198111999) and next prime (5198112001).

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 5197833216 = 528^2 + 72096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5198112001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278976 + ... + 297024.

Almost surely, 2^5198112000 is an apocalyptic number.

5198112000 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 5198112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9352679700).

5198112000 is an abundant number, since it is smaller than the sum of its proper divisors (13507247400).

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

5198112000 is a wasteful number, since it uses less digits than its factorization.

5198112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18086 (or 18059 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 5198112000 is about 72097.9333961799. The cubic root of 5198112000 is about 1732.2685110147.

The spelling of 5198112000 in words is "five billion, one hundred ninety-eight million, one hundred twelve thousand".