5080878910800 has 1440 divisors, whose sum is σ = 23040205332480. Its totient is φ = 1040764032000.

The previous prime is 5080878910763. The next prime is 5080878910847. The reversal of 5080878910800 is 80198780805.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 649475689 + ... + 649483511.

It is an arithmetic number, because the mean of its divisors is an integer number (16000142592).

Almost surely, 2^{5080878910800} is an apocalyptic number.

5080878910800 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 5080878910800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11520102666240).

5080878910800 is an abundant number, since it is smaller than the sum of its proper divisors (17959326421680).

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

5080878910800 is a wasteful number, since it uses less digits than its factorization.

5080878910800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7950 (or 7922 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 5080878910800 in words is "five trillion, eighty billion, eight hundred seventy-eight million, nine hundred ten thousand, eight hundred".