5009164528104 has 320 divisors, whose sum is σ = 15678789857280. Its totient is φ = 1481013072000.

The previous prime is 5009164528051. The next prime is 5009164528111. The reversal of 5009164528104 is 4018254619005.

5009164528104 is a `hidden beast` number, since 5 + 0 + 0 + 9 + 16 + 4 + 528 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5009164528104.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 297606969 + ... + 297623799.

It is an arithmetic number, because the mean of its divisors is an integer number (48996218304).

Almost surely, 2^{5009164528104} is an apocalyptic number.

5009164528104 is a gapful number since it is divisible by the number (54) 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 5009164528104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7839394928640).

5009164528104 is an abundant number, since it is smaller than the sum of its proper divisors (10669625329176).

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

5009164528104 is a wasteful number, since it uses less digits than its factorization.

5009164528104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17874 (or 17861 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

Subtracting from 5009164528104 its reverse (4018254619005), we obtain a palindrome (990909909099).

The spelling of 5009164528104 in words is "five trillion, nine billion, one hundred sixty-four million, five hundred twenty-eight thousand, one hundred four".