13141517760 has 504 divisors, whose sum is σ = 54544417200. Its totient is φ = 3002904576.

The previous prime is 13141517759. The next prime is 13141517771. The reversal of 13141517760 is 6771514131.

It is a happy number.

13141517760 is a `hidden beast` number, since 1 + 31 + 41 + 517 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3808516 + ... + 3811964.

It is an arithmetic number, because the mean of its divisors is an integer number (108223050).

Almost surely, 2^13141517760 is an apocalyptic number.

13141517760 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 13141517760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27272208600).

13141517760 is an abundant number, since it is smaller than the sum of its proper divisors (41402899440).

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

13141517760 is an equidigital number, since it uses as much as digits as its factorization.

13141517760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 13141517760 in words is "thirteen billion, one hundred forty-one million, five hundred seventeen thousand, seven hundred sixty".