13160087424 has 192 divisors, whose sum is σ = 41896932480. Its totient is φ = 3931468800.

The previous prime is 13160087407. The next prime is 13160087429. The reversal of 13160087424 is 42478006131.

13160087424 is a `hidden beast` number, since 1 + 3 + 1 + 600 + 8 + 7 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13160087429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 892399 + ... + 907025.

It is an arithmetic number, because the mean of its divisors is an integer number (218213190).

Almost surely, 2^13160087424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13160087424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20948466240).

13160087424 is an abundant number, since it is smaller than the sum of its proper divisors (28736845056).

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

13160087424 is a wasteful number, since it uses less digits than its factorization.

13160087424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14729 (or 14714 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

It can be divided in two parts, 131600 and 87424, that added together give a square (219024 = 468²).

The spelling of 13160087424 in words is "thirteen billion, one hundred sixty million, eighty-seven thousand, four hundred twenty-four".