5016880908000 has 1536 divisors, whose sum is σ = 20591688499200. Its totient is φ = 1177970688000.

The previous prime is 5016880907977. The next prime is 5016880908019. The reversal of 5016880908000 is 8090886105.

5016880908000 is a `hidden beast` number, since 501 + 68 + 8 + 0 + 9 + 0 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 3177251211 + ... + 3177252789.

It is an arithmetic number, because the mean of its divisors is an integer number (13406047200).

Almost surely, 2^{5016880908000} is an apocalyptic number.

5016880908000 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 5016880908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10295844249600).

5016880908000 is an abundant number, since it is smaller than the sum of its proper divisors (15574807591200).

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

5016880908000 is a wasteful number, since it uses less digits than its factorization.

5016880908000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 5016880908000 in words is "five trillion, sixteen billion, eight hundred eighty million, nine hundred eight thousand".