13132546560 has 480 divisors, whose sum is σ = 52533816192. Its totient is φ = 2969763840.

The previous prime is 13132546543. The next prime is 13132546577. The reversal of 13132546560 is 6564523131.

13132546560 is a `hidden beast` number, since 1 + 3 + 132 + 5 + 465 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (13132546543) and next prime (13132546577).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17256580 + ... + 17257340.

Almost surely, 2^13132546560 is an apocalyptic number.

13132546560 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 13132546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26266908096).

13132546560 is an abundant number, since it is smaller than the sum of its proper divisors (39401269632).

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

13132546560 is a wasteful number, since it uses less digits than its factorization.

13132546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 13132546560 in words is "thirteen billion, one hundred thirty-two million, five hundred forty-six thousand, five hundred sixty".