5120508800000 has 1056 divisors, whose sum is σ = 15198002265600. Its totient is φ = 1703116800000.

The previous prime is 5120508799981. The next prime is 5120508800083. The reversal of 5120508800000 is 88050215.

It is a super-2 number, since 2×5120508800000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25731199901 + ... + 25731200099.

It is an arithmetic number, because the mean of its divisors is an integer number (14392047600).

Almost surely, 2^{5120508800000} is an apocalyptic number.

5120508800000 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 5120508800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599001132800).

5120508800000 is an abundant number, since it is smaller than the sum of its proper divisors (10077493465600).

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

5120508800000 is a wasteful number, since it uses less digits than its factorization.

5120508800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

The spelling of 5120508800000 in words is "five trillion, one hundred twenty billion, five hundred eight million, eight hundred thousand".