13081675824 has 240 divisors, whose sum is σ = 44748073440. Its totient is φ = 3646218240.

The previous prime is 13081675823. The next prime is 13081675837. The reversal of 13081675824 is 42857618031.

13081675824 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 1 + 67 + 582 + 4 = 666.

It is a super-2 number, since 2×13081675824² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13081675824.

It is not an unprimeable number, because it can be changed into a prime (13081675823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 860352 + ... + 875424.

It is an arithmetic number, because the mean of its divisors is an integer number (186450306).

Almost surely, 2^13081675824 is an apocalyptic number.

13081675824 is a gapful number since it is divisible by the number (14) 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 13081675824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22374036720).

13081675824 is an abundant number, since it is smaller than the sum of its proper divisors (31666397616).

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

13081675824 is a wasteful number, since it uses less digits than its factorization.

13081675824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15145 (or 15126 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 13081675824 in words is "thirteen billion, eighty-one million, six hundred seventy-five thousand, eight hundred twenty-four".