53548580365280 has 864 divisors, whose sum is σ = 175533410078208. Its totient is φ = 15256578355200.

The previous prime is 53548580365271. The next prime is 53548580365283. The reversal of 53548580365280 is 8256308584535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53548580365283) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1501161845 + ... + 1501197515.

It is an arithmetic number, because the mean of its divisors is an integer number (203163669072).

Almost surely, 2^{53548580365280} 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 53548580365280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87766705039104).

53548580365280 is an abundant number, since it is smaller than the sum of its proper divisors (121984829712928).

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

53548580365280 is a wasteful number, since it uses less digits than its factorization.

53548580365280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35840 (or 35812 counting only the distinct ones).

The product of its (nonzero) digits is 138240000, while the sum is 62.

The spelling of 53548580365280 in words is "fifty-three trillion, five hundred forty-eight billion, five hundred eighty million, three hundred sixty-five thousand, two hundred eighty".