13057853621760 has 240 divisors, whose sum is σ = 45353373086736. Its totient is φ = 3472057319424.

The previous prime is 13057853621699. The next prime is 13057853621773. The reversal of 13057853621760 is 6712635875031.

13057853621760 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 7 + 8 + 5 + 3 + 621 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 13057853621697 and 13057853621706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7178242 + ... + 8811518.

Almost surely, 2^{13057853621760} is an apocalyptic number.

13057853621760 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 13057853621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22676686543368).

13057853621760 is an abundant number, since it is smaller than the sum of its proper divisors (32295519464976).

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

13057853621760 is a wasteful number, since it uses less digits than its factorization.

13057853621760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633653 (or 1633634 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 13057853621760 in words is "thirteen trillion, fifty-seven billion, eight hundred fifty-three million, six hundred twenty-one thousand, seven hundred sixty".