5129179200 has 420 divisors, whose sum is σ = 19855393360. Its totient is φ = 1295170560.

The previous prime is 5129179189. The next prime is 5129179207. The reversal of 5129179200 is 29719215.

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

It is not an unprimeable number, because it can be changed into a prime (5129179207) 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 59 ways as a sum of consecutive naturals, for example, 2461359 + ... + 2463441.

Almost surely, 2^5129179200 is an apocalyptic number.

5129179200 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 5129179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9927696680).

5129179200 is an abundant number, since it is smaller than the sum of its proper divisors (14726214160).

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

5129179200 is a wasteful number, since it uses less digits than its factorization.

5129179200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 5129179200 is about 71618.2881671993. The cubic root of 5129179200 is about 1724.5771364240.

The spelling of 5129179200 in words is "five billion, one hundred twenty-nine million, one hundred seventy-nine thousand, two hundred".