5111125115200 has 168 divisors, whose sum is σ = 13568780799392. Its totient is φ = 1883730401280.

The previous prime is 5111125115189. The next prime is 5111125115207. The reversal of 5111125115200 is 25115211115.

It is a super-2 number, since 2×5111125115200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5111125115207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11152987 + ... + 11602213.

Almost surely, 2^{5111125115200} is an apocalyptic number.

5111125115200 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 5111125115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6784390399696).

5111125115200 is an abundant number, since it is smaller than the sum of its proper divisors (8457655684192).

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

5111125115200 is a wasteful number, since it uses less digits than its factorization.

5111125115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449809 (or 449794 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 25.

The spelling of 5111125115200 in words is "five trillion, one hundred eleven billion, one hundred twenty-five million, one hundred fifteen thousand, two hundred".