5048009107008 has 224 divisors, whose sum is σ = 15828307891200. Its totient is φ = 1389226223616.

The previous prime is 5048009107003. The next prime is 5048009107033. The reversal of 5048009107008 is 8007019008405.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5048009107003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16176391 + ... + 16485497.

It is an arithmetic number, because the mean of its divisors is an integer number (70662088800).

Almost surely, 2^{5048009107008} is an apocalyptic number.

5048009107008 is a gapful number since it is divisible by the number (58) 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 5048009107008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7914153945600).

5048009107008 is an abundant number, since it is smaller than the sum of its proper divisors (10780298784192).

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

5048009107008 is a wasteful number, since it uses less digits than its factorization.

5048009107008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309577 (or 309567 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 5048009107008 in words is "five trillion, forty-eight billion, nine million, one hundred seven thousand, eight".