5119329600 has 1344 divisors, whose sum is σ = 24793651200. Its totient is φ = 1007769600.

The previous prime is 5119329599. The next prime is 5119329613. The reversal of 5119329600 is 69239115.

5119329600 is a `hidden beast` number, since 5 + 1 + 19 + 32 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 269438391 + ... + 269438409.

Almost surely, 2^5119329600 is an apocalyptic number.

5119329600 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 5119329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12396825600).

5119329600 is an abundant number, since it is smaller than the sum of its proper divisors (19674321600).

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

5119329600 is a wasteful number, since it uses less digits than its factorization.

5119329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 5119329600 is about 71549.4905642241. The cubic root of 5119329600 is about 1723.4725230641.

The spelling of 5119329600 in words is "five billion, one hundred nineteen million, three hundred twenty-nine thousand, six hundred".