13536504640 has 224 divisors, whose sum is σ = 35206594560. Its totient is φ = 4942080000.

The previous prime is 13536504599. The next prime is 13536504659. The reversal of 13536504640 is 4640563531.

It is a self number, because there is not a number n which added to its sum of digits gives 13536504640.

It is a congruent number.

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, 18024265 + ... + 18025015.

Almost surely, 2^13536504640 is an apocalyptic number.

13536504640 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 13536504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603297280).

13536504640 is an abundant number, since it is smaller than the sum of its proper divisors (21670089920).

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

13536504640 is a wasteful number, since it uses less digits than its factorization.

13536504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 13536504640 in words is "thirteen billion, five hundred thirty-six million, five hundred four thousand, six hundred forty".