13518822240 has 1920 divisors, whose sum is σ = 67443425280. Its totient is φ = 2463436800.

The previous prime is 13518822227. The next prime is 13518822281. The reversal of 13518822240 is 4222881531.

It is a happy number.

13518822240 is a `hidden beast` number, since 1 + 3 + 518 + 82 + 22 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13518822195 and 13518822204.

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, 436091025 + ... + 436091055.

It is an arithmetic number, because the mean of its divisors is an integer number (35126784).

Almost surely, 2^13518822240 is an apocalyptic number.

13518822240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13518822240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33721712640).

13518822240 is an abundant number, since it is smaller than the sum of its proper divisors (53924603040).

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

13518822240 is a wasteful number, since it uses less digits than its factorization.

13518822240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 13518822240 in words is "thirteen billion, five hundred eighteen million, eight hundred twenty-two thousand, two hundred forty".