13057450560 has 896 divisors, whose sum is σ = 60511334400. Its totient is φ = 2567946240.

The previous prime is 13057450547. The next prime is 13057450561. The reversal of 13057450560 is 6505475031.

13057450560 is a `hidden beast` number, since 1 + 3 + 0 + 57 + 45 + 0 + 560 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13057450561) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 12639804 + ... + 12640836.

Almost surely, 2^13057450560 is an apocalyptic number.

13057450560 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 13057450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30255667200).

13057450560 is an abundant number, since it is smaller than the sum of its proper divisors (47453883840).

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

13057450560 is a wasteful number, since it uses less digits than its factorization.

13057450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 13057450560 in words is "thirteen billion, fifty-seven million, four hundred fifty thousand, five hundred sixty".