53588767680 has 504 divisors, whose sum is σ = 215128602000. Its totient is φ = 12208250880.

The previous prime is 53588767643. The next prime is 53588767783. The reversal of 53588767680 is 8676788535.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×53588767680² (a number of 22 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70418500 + ... + 70419260.

Almost surely, 2^53588767680 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 53588767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107564301000).

53588767680 is an abundant number, since it is smaller than the sum of its proper divisors (161539834320).

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

53588767680 is a wasteful number, since it uses less digits than its factorization.

53588767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 53588767680 in words is "fifty-three billion, five hundred eighty-eight million, seven hundred sixty-seven thousand, six hundred eighty".