5518523250240 has 2688 divisors, whose sum is σ = 25836733956096. Its totient is φ = 962592768000.

The previous prime is 5518523250217. The next prime is 5518523250283. The reversal of 5518523250240 is 420523258155.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5518523250192 and 5518523250201.

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 383 ways as a sum of consecutive naturals, for example, 8609240320 + ... + 8609240960.

It is an arithmetic number, because the mean of its divisors is an integer number (9611880192).

Almost surely, 2^{5518523250240} 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 5518523250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12918366978048).

5518523250240 is an abundant number, since it is smaller than the sum of its proper divisors (20318210705856).

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

5518523250240 is a wasteful number, since it uses less digits than its factorization.

5518523250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

The spelling of 5518523250240 in words is "five trillion, five hundred eighteen billion, five hundred twenty-three million, two hundred fifty thousand, two hundred forty".