13536607560 has 384 divisors, whose sum is σ = 49246444800. Its totient is φ = 2914099200.

The previous prime is 13536607499. The next prime is 13536607597. The reversal of 13536607560 is 6570663531.

It is a happy number.

It is a super-3 number, since 3×13536607560³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33096636 + ... + 33097044.

It is an arithmetic number, because the mean of its divisors is an integer number (128245950).

Almost surely, 2^13536607560 is an apocalyptic number.

13536607560 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 13536607560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24623222400).

13536607560 is an abundant number, since it is smaller than the sum of its proper divisors (35709837240).

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

13536607560 is a wasteful number, since it uses less digits than its factorization.

13536607560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The spelling of 13536607560 in words is "thirteen billion, five hundred thirty-six million, six hundred seven thousand, five hundred sixty".