13052280672 has 288 divisors, whose sum is σ = 42343741440. Its totient is φ = 3789434880.

The previous prime is 13052280643. The next prime is 13052280677. The reversal of 13052280672 is 27608225031.

13052280672 is a `hidden beast` number, since 1 + 305 + 2 + 280 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13052280677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3488979 + ... + 3492717.

It is an arithmetic number, because the mean of its divisors is an integer number (147026880).

Almost surely, 2^13052280672 is an apocalyptic number.

13052280672 is a gapful number since it is divisible by the number (12) 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 13052280672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21171870720).

13052280672 is an abundant number, since it is smaller than the sum of its proper divisors (29291460768).

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

13052280672 is a wasteful number, since it uses less digits than its factorization.

13052280672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13052280672 in words is "thirteen billion, fifty-two million, two hundred eighty thousand, six hundred seventy-two".