5135385600 has 396 divisors, whose sum is σ = 19006640640. Its totient is φ = 1323417600.

The previous prime is 5135385557. The next prime is 5135385601. The reversal of 5135385600 is 65835315.

5135385600 is a `hidden beast` number, since 5 + 13 + 5 + 38 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5135385601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7142041 + ... + 7142759.

Almost surely, 2^5135385600 is an apocalyptic number.

5135385600 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 5135385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9503320320).

5135385600 is an abundant number, since it is smaller than the sum of its proper divisors (13871255040).

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

5135385600 is a wasteful number, since it uses less digits than its factorization.

5135385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 5135385600 is about 71661.6047824775. The cubic root of 5135385600 is about 1725.2724459406.

The spelling of 5135385600 in words is "five billion, one hundred thirty-five million, three hundred eighty-five thousand, six hundred".