13181794560 has 864 divisors, whose sum is σ = 54755326080. Its totient is φ = 2890137600.

The previous prime is 13181794547. The next prime is 13181794567. The reversal of 13181794560 is 6549718131.

13181794560 is a `hidden beast` number, since 1 + 3 + 1 + 81 + 7 + 9 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13181794567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62472855 + ... + 62473065.

It is an arithmetic number, because the mean of its divisors is an integer number (63374220).

Almost surely, 2^13181794560 is an apocalyptic number.

13181794560 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 13181794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27377663040).

13181794560 is an abundant number, since it is smaller than the sum of its proper divisors (41573531520).

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

13181794560 is a wasteful number, since it uses less digits than its factorization.

13181794560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 13181794560 in words is "thirteen billion, one hundred eighty-one million, seven hundred ninety-four thousand, five hundred sixty".