5129433600 has 360 divisors, whose sum is σ = 17634965040. Its totient is φ = 1314201600.

The previous prime is 5129433587. The next prime is 5129433643. The reversal of 5129433600 is 63349215.

It is a super-2 number, since 2×5129433600² = 52622178113617920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36902331 + ... + 36902469.

It is an arithmetic number, because the mean of its divisors is an integer number (48986014).

Almost surely, 2^5129433600 is an apocalyptic number.

5129433600 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 5129433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8817482520).

5129433600 is an abundant number, since it is smaller than the sum of its proper divisors (12505531440).

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

5129433600 is a wasteful number, since it uses less digits than its factorization.

5129433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 5129433600 is about 71620.0642278405. The cubic root of 5129433600 is about 1724.6056481445.

The spelling of 5129433600 in words is "five billion, one hundred twenty-nine million, four hundred thirty-three thousand, six hundred".