5114054145200 has 960 divisors, whose sum is σ = 17223220976640. Its totient is φ = 1407891456000.

The previous prime is 5114054145197. The next prime is 5114054145269. The reversal of 5114054145200 is 25414504115.

It is a happy 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, 903699971 + ... + 903705629.

It is an arithmetic number, because the mean of its divisors is an integer number (17940855184).

Almost surely, 2^{5114054145200} is an apocalyptic number.

5114054145200 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 5114054145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8611610488320).

5114054145200 is an abundant number, since it is smaller than the sum of its proper divisors (12109166831440).

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

5114054145200 is a wasteful number, since it uses less digits than its factorization.

5114054145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5806 (or 5795 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

Adding to 5114054145200 its reverse (25414504115), we get a palindrome (5139468649315).

The spelling of 5114054145200 in words is "five trillion, one hundred fourteen billion, fifty-four million, one hundred forty-five thousand, two hundred".