13132409760 has 72 divisors (see below), whose sum is σ = 44814353220. Its totient is φ = 3501975552.

The previous prime is 13132409749. The next prime is 13132409761. The reversal of 13132409760 is 6790423131.

It can be written as a sum of positive squares in 2 ways, for example, as 12993264144 + 139145616 = 113988^2 + 11796^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×13132409760² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13132409761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4558425 + ... + 4561304.

Almost surely, 2^13132409760 is an apocalyptic number.

13132409760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132409760 is an abundant number, since it is smaller than the sum of its proper divisors (31681943460).

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

13132409760 is a wasteful number, since it uses less digits than its factorization.

13132409760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9119750 (or 9119739 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13132409760 in words is "thirteen billion, one hundred thirty-two million, four hundred nine thousand, seven hundred sixty".