13753853285760 has 4608 divisors, whose sum is σ = 65935560038400. Its totient is φ = 2573010468864.

The previous prime is 13753853285707. The next prime is 13753853285789. The reversal of 13753853285760 is 6758235835731.

13753853285760 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 3 + 8 + 53 + 2 + 8 + 576 + 0 = 666.

It is a super-2 number, since 2×13753853285760² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 188408949084 + ... + 188408949156.

It is an arithmetic number, because the mean of its divisors is an integer number (14308932300).

Almost surely, 2^{13753853285760} is an apocalyptic number.

13753853285760 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 13753853285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32967780019200).

13753853285760 is an abundant number, since it is smaller than the sum of its proper divisors (52181706752640).

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

13753853285760 is a wasteful number, since it uses less digits than its factorization.

13753853285760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 13753853285760 in words is "thirteen trillion, seven hundred fifty-three billion, eight hundred fifty-three million, two hundred eighty-five thousand, seven hundred sixty".