13500640512 has 432 divisors, whose sum is σ = 42651248640. Its totient is φ = 4096770048.

The previous prime is 13500640507. The next prime is 13500640529. The reversal of 13500640512 is 21504600531.

13500640512 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 0 + 640 + 5 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106304193 + ... + 106304319.

Almost surely, 2^13500640512 is an apocalyptic number.

13500640512 is a gapful number since it is divisible by the number (12) 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 13500640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21325624320).

13500640512 is an abundant number, since it is smaller than the sum of its proper divisors (29150608128).

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

13500640512 is a wasteful number, since it uses less digits than its factorization.

13500640512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 13500640512 in words is "thirteen billion, five hundred million, six hundred forty thousand, five hundred twelve".