5141187600000 has 768 divisors, whose sum is σ = 18203922374400. Its totient is φ = 1281024000000.

The previous prime is 5141187599963. The next prime is 5141187600047. The reversal of 5141187600000 is 67811415.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3080399166 + ... + 3080400834.

It is an arithmetic number, because the mean of its divisors is an integer number (23703023925).

Almost surely, 2^{5141187600000} is an apocalyptic number.

5141187600000 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 5141187600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9101961187200).

5141187600000 is an abundant number, since it is smaller than the sum of its proper divisors (13062734774400).

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

5141187600000 is a wasteful number, since it uses less digits than its factorization.

5141187600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

It can be divided in two parts, 514118 and 7600000, that added together give a palindrome (8114118).

The spelling of 5141187600000 in words is "five trillion, one hundred forty-one billion, one hundred eighty-seven million, six hundred thousand".