5105181755640 has 256 divisors, whose sum is σ = 16012762214400. Its totient is φ = 1300583116800.

The previous prime is 5105181755621. The next prime is 5105181755689. The reversal of 5105181755640 is 465571815015.

It is a self number, because there is not a number n which added to its sum of digits gives 5105181755640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212872450 + ... + 212896430.

It is an arithmetic number, because the mean of its divisors is an integer number (62549852400).

Almost surely, 2^{5105181755640} 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 5105181755640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8006381107200).

5105181755640 is an abundant number, since it is smaller than the sum of its proper divisors (10907580458760).

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

5105181755640 is a wasteful number, since it uses less digits than its factorization.

5105181755640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24758 (or 24754 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 48.

The spelling of 5105181755640 in words is "five trillion, one hundred five billion, one hundred eighty-one million, seven hundred fifty-five thousand, six hundred forty".