5181367830240 has 768 divisors, whose sum is σ = 19126063595520. Its totient is φ = 1154757427200.

The previous prime is 5181367830211. The next prime is 5181367830257. The reversal of 5181367830240 is 420387631815.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5181367830240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10300929829 + ... + 10300930331.

It is an arithmetic number, because the mean of its divisors is an integer number (24903728640).

Almost surely, 2^{5181367830240} 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 5181367830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9563031797760).

5181367830240 is an abundant number, since it is smaller than the sum of its proper divisors (13944695765280).

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

5181367830240 is a wasteful number, since it uses less digits than its factorization.

5181367830240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 5181367830240 in words is "five trillion, one hundred eighty-one billion, three hundred sixty-seven million, eight hundred thirty thousand, two hundred forty".