5110446608400 has 960 divisors, whose sum is σ = 20202912645120. Its totient is φ = 1080602265600.

The previous prime is 5110446608353. The next prime is 5110446608419. The reversal of 5110446608400 is 48066440115.

It is a super-2 number, since 2×5110446608400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3168285994 + ... + 3168287606.

It is an arithmetic number, because the mean of its divisors is an integer number (21044700672).

Almost surely, 2^{5110446608400} is an apocalyptic number.

5110446608400 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 5110446608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10101456322560).

5110446608400 is an abundant number, since it is smaller than the sum of its proper divisors (15092466036720).

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

5110446608400 is a wasteful number, since it uses less digits than its factorization.

5110446608400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 5110446608400 in words is "five trillion, one hundred ten billion, four hundred forty-six million, six hundred eight thousand, four hundred".