13071708638352 has 1440 divisors, whose sum is σ = 49636413066240. Its totient is φ = 3297063813120.

The previous prime is 13071708638281. The next prime is 13071708638357. The reversal of 13071708638352 is 25383680717031.

It is a happy number.

13071708638352 is a `hidden beast` number, since 1 + 3 + 0 + 71 + 70 + 86 + 383 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13071708638357) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 6833092948 + ... + 6833094860.

It is an arithmetic number, because the mean of its divisors is an integer number (34469731296).

Almost surely, 2^{13071708638352} is an apocalyptic number.

13071708638352 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 13071708638352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24818206533120).

13071708638352 is an abundant number, since it is smaller than the sum of its proper divisors (36564704427888).

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

13071708638352 is a wasteful number, since it uses less digits than its factorization.

13071708638352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 13071708638352 in words is "thirteen trillion, seventy-one billion, seven hundred eight million, six hundred thirty-eight thousand, three hundred fifty-two".