13272652460160 has 768 divisors, whose sum is σ = 49745494656000. Its totient is φ = 3252798259200.

The previous prime is 13272652460149. The next prime is 13272652460161. The reversal of 13272652460160 is 6106425627231.

13272652460160 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 2 + 6 + 524 + 60 + 1 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13272652460161) 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, 315851631 + ... + 315893649.

It is an arithmetic number, because the mean of its divisors is an integer number (64772779500).

Almost surely, 2^{13272652460160} is an apocalyptic number.

13272652460160 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 13272652460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24872747328000).

13272652460160 is an abundant number, since it is smaller than the sum of its proper divisors (36472842195840).

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

13272652460160 is a wasteful number, since it uses less digits than its factorization.

13272652460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42165 (or 42150 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13272652460160 in words is "thirteen trillion, two hundred seventy-two billion, six hundred fifty-two million, four hundred sixty thousand, one hundred sixty".