13518989440 has 256 divisors, whose sum is σ = 37366272000. Its totient is φ = 4625510400.

The previous prime is 13518989437. The next prime is 13518989461. The reversal of 13518989440 is 4498981531.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28223121 + ... + 28223599.

It is an arithmetic number, because the mean of its divisors is an integer number (145962000).

Almost surely, 2^13518989440 is an apocalyptic number.

13518989440 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 13518989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18683136000).

13518989440 is an abundant number, since it is smaller than the sum of its proper divisors (23847282560).

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

13518989440 is a wasteful number, since it uses less digits than its factorization.

13518989440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 13518989440 in words is "thirteen billion, five hundred eighteen million, nine hundred eighty-nine thousand, four hundred forty".