13057438072608 has 144 divisors (see below), whose sum is σ = 38528424881856. Its totient is φ = 4350097509120.

The previous prime is 13057438072597. The next prime is 13057438072727. The reversal of 13057438072608 is 80627083475031.

It is a happy number.

13057438072608 is a `hidden beast` number, since 1 + 3 + 0 + 574 + 3 + 8 + 0 + 7 + 2 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 13779310 + ... + 14696402.

It is an arithmetic number, because the mean of its divisors is an integer number (267558506124).

Almost surely, 2^{13057438072608} is an apocalyptic number.

13057438072608 is a gapful number since it is divisible by the number (18) 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 13057438072608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19264212440928).

13057438072608 is an abundant number, since it is smaller than the sum of its proper divisors (25470986809248).

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

13057438072608 is an equidigital number, since it uses as much as digits as its factorization.

13057438072608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918949 (or 918929 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 13057438072608 in words is "thirteen trillion, fifty-seven billion, four hundred thirty-eight million, seventy-two thousand, six hundred eight".