13057175040 has 960 divisors, whose sum is σ = 55721058624. Its totient is φ = 2576351232.

The previous prime is 13057174997. The next prime is 13057175077. The reversal of 13057175040 is 4057175031.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 13057174992 and 13057175010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83166642 + ... + 83166798.

Almost surely, 2^13057175040 is an apocalyptic number.

13057175040 is a gapful number since it is divisible by the number (10) 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 13057175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27860529312).

13057175040 is an abundant number, since it is smaller than the sum of its proper divisors (42663883584).

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

13057175040 is a wasteful number, since it uses less digits than its factorization.

13057175040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

Subtracting from 13057175040 its reverse (4057175031), we obtain a palindrome (9000000009).

The spelling of 13057175040 in words is "thirteen billion, fifty-seven million, one hundred seventy-five thousand, forty".