5010541141760 has 288 divisors, whose sum is σ = 14967501276672. Its totient is φ = 1561288458240.

The previous prime is 5010541141759. The next prime is 5010541141789. The reversal of 5010541141760 is 671411450105.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5010541141760.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 666557522 + ... + 666565038.

It is an arithmetic number, because the mean of its divisors is an integer number (51970490544).

Almost surely, 2^{5010541141760} 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 5010541141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483750638336).

5010541141760 is an abundant number, since it is smaller than the sum of its proper divisors (9956960134912).

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

5010541141760 is a wasteful number, since it uses less digits than its factorization.

5010541141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14319 (or 14305 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

Adding to 5010541141760 its reverse (671411450105), we get a palindrome (5681952591865).

The spelling of 5010541141760 in words is "five trillion, ten billion, five hundred forty-one million, one hundred forty-one thousand, seven hundred sixty".