5040096498360 has 1280 divisors, whose sum is σ = 22049283041280. Its totient is φ = 1002170880000.

The previous prime is 5040096498337. The next prime is 5040096498401. The reversal of 5040096498360 is 638946900405.

5040096498360 is a `hidden beast` number, since 5 + 0 + 4 + 0 + 0 + 96 + 498 + 3 + 60 = 666.

It is a super-3 number, since 3×5040096498360³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5040096498297 and 5040096498306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 563071885 + ... + 563080835.

It is an arithmetic number, because the mean of its divisors is an integer number (17226002376).

Almost surely, 2^{5040096498360} 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 5040096498360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11024641520640).

5040096498360 is an abundant number, since it is smaller than the sum of its proper divisors (17009186542920).

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

5040096498360 is a wasteful number, since it uses less digits than its factorization.

5040096498360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9090 (or 9077 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 5040096498360 in words is "five trillion, forty billion, ninety-six million, four hundred ninety-eight thousand, three hundred sixty".