13057082841600 has 3240 divisors, whose sum is σ = 59771023472160. Its totient is φ = 2810467860480.

The previous prime is 13057082841587. The next prime is 13057082841617. The reversal of 13057082841600 is 614828075031.

13057082841600 is a `hidden beast` number, since 1 + 30 + 5 + 7 + 0 + 8 + 2 + 8 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 323 ways as a sum of consecutive naturals, for example, 78186124717 + ... + 78186124883.

Almost surely, 2^{13057082841600} is an apocalyptic number.

13057082841600 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 13057082841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29885511736080).

13057082841600 is an abundant number, since it is smaller than the sum of its proper divisors (46713940630560).

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

13057082841600 is an frugal number, since it uses more digits than its factorization.

13057082841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 13057082841600 in words is "thirteen trillion, fifty-seven billion, eighty-two million, eight hundred forty-one thousand, six hundred".