5135789800 has 72 divisors (see below), whose sum is σ = 12365600850. Its totient is φ = 1981369600.

The previous prime is 5135789779. The next prime is 5135789801. The reversal of 5135789800 is 89875315.

It can be written as a sum of positive squares in 9 ways, for example, as 721781956 + 4414007844 = 26866^2 + 66438^2 .

It is not an unprimeable number, because it can be changed into a prime (5135789801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5457330 + ... + 5458270.

Almost surely, 2^5135789800 is an apocalyptic number.

5135789800 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 5135789800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6182800425).

5135789800 is an abundant number, since it is smaller than the sum of its proper divisors (7229811050).

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

5135789800 is an equidigital number, since it uses as much as digits as its factorization.

5135789800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The square root of 5135789800 is about 71664.4249261794. The cubic root of 5135789800 is about 1725.3177094568.

The spelling of 5135789800 in words is "five billion, one hundred thirty-five million, seven hundred eighty-nine thousand, eight hundred".