53539361863680 has 1536 divisors, whose sum is σ = 225766866124800. Its totient is φ = 10493676748800.

The previous prime is 53539361863657. The next prime is 53539361863747. The reversal of 53539361863680 is 8636816393535.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (66).

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 127 ways as a sum of consecutive naturals, for example, 10831347289 + ... + 10831352231.

It is an arithmetic number, because the mean of its divisors is an integer number (146983636800).

Almost surely, 2^{53539361863680} 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 53539361863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112883433062400).

53539361863680 is an abundant number, since it is smaller than the sum of its proper divisors (172227504261120).

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

53539361863680 is a wasteful number, since it uses less digits than its factorization.

53539361863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5251 (or 5231 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 66.

The spelling of 53539361863680 in words is "fifty-three trillion, five hundred thirty-nine billion, three hundred sixty-one million, eight hundred sixty-three thousand, six hundred eighty".