5129049600 has 720 divisors, whose sum is σ = 20362790448. Its totient is φ = 1274019840.

The previous prime is 5129049599. The next prime is 5129049647. The reversal of 5129049600 is 69409215.

5129049600 is a `hidden beast` number, since 5 + 1 + 2 + 9 + 0 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52876752 + ... + 52876848.

Almost surely, 2^5129049600 is an apocalyptic number.

5129049600 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 5129049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10181395224).

5129049600 is an abundant number, since it is smaller than the sum of its proper divisors (15233740848).

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

5129049600 is an equidigital number, since it uses as much as digits as its factorization.

5129049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5129049600 is about 71617.3833646553. The cubic root of 5129049600 is about 1724.5626112228.

The spelling of 5129049600 in words is "five billion, one hundred twenty-nine million, forty-nine thousand, six hundred".