13072604461056 has 864 divisors, whose sum is σ = 45016633509120. Its totient is φ = 3642397065216.

The previous prime is 13072604461031. The next prime is 13072604461093. The reversal of 13072604461056 is 65016440627031.

13072604461056 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 26 + 0 + 4 + 4 + 610 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23219545831 + ... + 23219546393.

It is an arithmetic number, because the mean of its divisors is an integer number (52102585080).

Almost surely, 2^{13072604461056} is an apocalyptic number.

13072604461056 is a gapful number since it is divisible by the number (16) 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 13072604461056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22508316754560).

13072604461056 is an abundant number, since it is smaller than the sum of its proper divisors (31944029048064).

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

13072604461056 is a wasteful number, since it uses less digits than its factorization.

13072604461056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1169 counting only the distinct ones).

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

The spelling of 13072604461056 in words is "thirteen trillion, seventy-two billion, six hundred four million, four hundred sixty-one thousand, fifty-six".