5110594090800 has 720 divisors, whose sum is σ = 18461207469600. Its totient is φ = 1207126835200.

The previous prime is 5110594090759. The next prime is 5110594090813. The reversal of 5110594090800 is 80904950115.

It is a super-2 number, since 2×5110594090800² (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 143 ways as a sum of consecutive naturals, for example, 1146642172 + ... + 1146646628.

It is an arithmetic number, because the mean of its divisors is an integer number (25640565930).

Almost surely, 2^{5110594090800} is an apocalyptic number.

5110594090800 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 5110594090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9230603734800).

5110594090800 is an abundant number, since it is smaller than the sum of its proper divisors (13350613378800).

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

5110594090800 is a wasteful number, since it uses less digits than its factorization.

5110594090800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The spelling of 5110594090800 in words is "five trillion, one hundred ten billion, five hundred ninety-four million, ninety thousand, eight hundred".