13024452672 has 560 divisors, whose sum is σ = 48954098688. Its totient is φ = 3325639680.

The previous prime is 13024452643. The next prime is 13024452713. The reversal of 13024452672 is 27625442031.

13024452672 is a `hidden beast` number, since 130 + 2 + 4 + 452 + 6 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26744013 + ... + 26744499.

Almost surely, 2^13024452672 is an apocalyptic number.

13024452672 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 13024452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24477049344).

13024452672 is an abundant number, since it is smaller than the sum of its proper divisors (35929646016).

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

13024452672 is a wasteful number, since it uses less digits than its factorization.

13024452672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 13024452672 in words is "thirteen billion, twenty-four million, four hundred fifty-two thousand, six hundred seventy-two".