13503640608 has 72 divisors (see below), whose sum is σ = 39337621596. Its totient is φ = 4391424000.

The previous prime is 13503640589. The next prime is 13503640609. The reversal of 13503640608 is 80604630531.

13503640608 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 3 + 6 + 40 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13295934864 + 207705744 = 115308^2 + 14412^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (13503640609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 559993 + ... + 583608.

Almost surely, 2^13503640608 is an apocalyptic number.

13503640608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13503640608 is an abundant number, since it is smaller than the sum of its proper divisors (25833980988).

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

13503640608 is a wasteful number, since it uses less digits than its factorization.

13503640608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143658 (or 1143647 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13503640608 in words is "thirteen billion, five hundred three million, six hundred forty thousand, six hundred eight".