53505181181760 has 448 divisors, whose sum is σ = 211940000686080. Its totient is φ = 11110460129280.

The previous prime is 53505181181743. The next prime is 53505181181813. The reversal of 53505181181760 is 6718118150535.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109675656 + ... + 110162424.

Almost surely, 2^{53505181181760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53505181181760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105970000343040).

53505181181760 is an abundant number, since it is smaller than the sum of its proper divisors (158434819504320).

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

53505181181760 is a wasteful number, since it uses less digits than its factorization.

53505181181760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488294 (or 488284 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 51.

The spelling of 53505181181760 in words is "fifty-three trillion, five hundred five billion, one hundred eighty-one million, one hundred eighty-one thousand, seven hundred sixty".