13059138376656 has 360 divisors, whose sum is σ = 39635429580864. Its totient is φ = 4160190481920.

The previous prime is 13059138376621. The next prime is 13059138376733. The reversal of 13059138376656 is 65667383195031.

13059138376656 is a `hidden beast` number, since 1 + 3 + 0 + 591 + 3 + 8 + 37 + 6 + 6 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13059138376593 and 13059138376602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5159674111 + ... + 5159676641.

Almost surely, 2^{13059138376656} is an apocalyptic number.

13059138376656 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 13059138376656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19817714790432).

13059138376656 is an abundant number, since it is smaller than the sum of its proper divisors (26576291204208).

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

13059138376656 is an equidigital number, since it uses as much as digits as its factorization.

13059138376656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 13059138376656 in words is "thirteen trillion, fifty-nine billion, one hundred thirty-eight million, three hundred seventy-six thousand, six hundred fifty-six".