5112054400224 has 192 divisors, whose sum is σ = 14012153789760. Its totient is φ = 1630350458880.

The previous prime is 5112054400217. The next prime is 5112054400259. The reversal of 5112054400224 is 4220044502115.

It is a super-2 number, since 2×5112054400224² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5112054400191 and 5112054400200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633538462 + ... + 633546530.

It is an arithmetic number, because the mean of its divisors is an integer number (72979967655).

Almost surely, 2^{5112054400224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5112054400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7006076894880).

5112054400224 is an abundant number, since it is smaller than the sum of its proper divisors (8900099389536).

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

5112054400224 is a wasteful number, since it uses less digits than its factorization.

5112054400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11213 (or 11205 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 5112054400224 its reverse (4220044502115), we get a palindrome (9332098902339).

The spelling of 5112054400224 in words is "five trillion, one hundred twelve billion, fifty-four million, four hundred thousand, two hundred twenty-four".