5198993100 has 270 divisors, whose sum is σ = 19606101900. Its totient is φ = 1188250560.

The previous prime is 5198993039. The next prime is 5198993101. The reversal of 5198993100 is 13998915.

It is a tau number, because it is divible by the number of its divisors (270).

It is a super-2 number, since 2×5198993100² = 54059058507695220000, which contains 22 as substring.

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 (5198993101) by changing a digit.

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 89 ways as a sum of consecutive naturals, for example, 390351 + ... + 403449.

Almost surely, 2^5198993100 is an apocalyptic number.

5198993100 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 5198993100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9803050950).

5198993100 is an abundant number, since it is smaller than the sum of its proper divisors (14407108800).

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

5198993100 is a wasteful number, since it uses less digits than its factorization.

5198993100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13139 (or 13116 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The square root of 5198993100 is about 72104.0435759327. The cubic root of 5198993100 is about 1732.3663808795.

The spelling of 5198993100 in words is "five billion, one hundred ninety-eight million, nine hundred ninety-three thousand, one hundred".