5168529600 has 336 divisors, whose sum is σ = 18448215072. Its totient is φ = 1259274240.

The previous prime is 5168529503. The next prime is 5168529607. The reversal of 5168529600 is 69258615.

It is not an unprimeable number, because it can be changed into a prime (5168529607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7050834 + ... + 7051566.

It is an arithmetic number, because the mean of its divisors is an integer number (54905402).

Almost surely, 2^5168529600 is an apocalyptic number.

5168529600 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 5168529600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9224107536).

5168529600 is an abundant number, since it is smaller than the sum of its proper divisors (13279685472).

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

5168529600 is a wasteful number, since it uses less digits than its factorization.

5168529600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 5168529600 is about 71892.4863946157. The cubic root of 5168529600 is about 1728.9761502847.

The spelling of 5168529600 in words is "five billion, one hundred sixty-eight million, five hundred twenty-nine thousand, six hundred".