5158198500 has 768 divisors, whose sum is σ = 20288765952. Its totient is φ = 988416000.

The previous prime is 5158198483. The next prime is 5158198501. The reversal of 5158198500 is 58918515.

It is a super-3 number, since 3×5158198500³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5158198501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 97324474 + ... + 97324526.

It is an arithmetic number, because the mean of its divisors is an integer number (26417664).

Almost surely, 2^5158198500 is an apocalyptic number.

5158198500 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 5158198500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10144382976).

5158198500 is an abundant number, since it is smaller than the sum of its proper divisors (15130567452).

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

5158198500 is a wasteful number, since it uses less digits than its factorization.

5158198500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 42.

The square root of 5158198500 is about 71820.5994127033. The cubic root of 5158198500 is about 1727.8233956066.

The spelling of 5158198500 in words is "five billion, one hundred fifty-eight million, one hundred ninety-eight thousand, five hundred".