13087042560 has 352 divisors, whose sum is σ = 47663985600. Its totient is φ = 3403284480.

The previous prime is 13087042537. The next prime is 13087042597. The reversal of 13087042560 is 6524078031.

13087042560 is a `hidden beast` number, since 13 + 0 + 87 + 0 + 4 + 2 + 560 = 666.

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

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, 5666686 + ... + 5668994.

It is an arithmetic number, because the mean of its divisors is an integer number (135409050).

Almost surely, 2^13087042560 is an apocalyptic number.

13087042560 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 13087042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23831992800).

13087042560 is an abundant number, since it is smaller than the sum of its proper divisors (34576943040).

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

13087042560 is a wasteful number, since it uses less digits than its factorization.

13087042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13087042560 in words is "thirteen billion, eighty-seven million, forty-two thousand, five hundred sixty".