5075180728800 has 1152 divisors, whose sum is σ = 21531671884800. Its totient is φ = 1014308904960.

The previous prime is 5075180728777. The next prime is 5075180728831. The reversal of 5075180728800 is 88270815705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 701278782 + ... + 701286018.

It is an arithmetic number, because the mean of its divisors is an integer number (18690687400).

Almost surely, 2^{5075180728800} is an apocalyptic number.

5075180728800 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 5075180728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10765835942400).

5075180728800 is an abundant number, since it is smaller than the sum of its proper divisors (16456491156000).

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

5075180728800 is a wasteful number, since it uses less digits than its factorization.

5075180728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7325 (or 7286 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 51.

The spelling of 5075180728800 in words is "five trillion, seventy-five billion, one hundred eighty million, seven hundred twenty-eight thousand, eight hundred".