13057056378 has 48 divisors (see below), whose sum is σ = 28823971176. Its totient is φ = 4270855680.

The previous prime is 13057056347. The next prime is 13057056379. The reversal of 13057056378 is 87365075031.

13057056378 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 7 + 0 + 5 + 637 + 8 = 666.

13057056378 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12655575009 + 401481369 = 112497^2 + 20037^2 .

It is not an unprimeable number, because it can be changed into a prime (13057056379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233638 + ... + 284078.

Almost surely, 2^13057056378 is an apocalyptic number.

13057056378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13057056378 is an abundant number, since it is smaller than the sum of its proper divisors (15766914798).

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

13057056378 is a wasteful number, since it uses less digits than its factorization.

13057056378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50719 (or 50716 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 13057056378 in words is "thirteen billion, fifty-seven million, fifty-six thousand, three hundred seventy-eight".