13207270244832 has 480 divisors, whose sum is σ = 41861521548000. Its totient is φ = 4069588303872.

The previous prime is 13207270244827. The next prime is 13207270244851. The reversal of 13207270244832 is 23844207270231.

13207270244832 is a `hidden beast` number, since 1 + 32 + 0 + 72 + 70 + 2 + 4 + 483 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5181352294 + ... + 5181354842.

It is an arithmetic number, because the mean of its divisors is an integer number (87211503225).

Almost surely, 2^{13207270244832} is an apocalyptic number.

13207270244832 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 13207270244832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20930760774000).

13207270244832 is an abundant number, since it is smaller than the sum of its proper divisors (28654251303168).

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

13207270244832 is a wasteful number, since it uses less digits than its factorization.

13207270244832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640 (or 4623 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 13207270244832 in words is "thirteen trillion, two hundred seven billion, two hundred seventy million, two hundred forty-four thousand, eight hundred thirty-two".