53884661607360 has 448 divisors, whose sum is σ = 206552806502400. Its totient is φ = 13173837926400.

The previous prime is 53884661607349. The next prime is 53884661607397. The reversal of 53884661607360 is 6370616648835.

53884661607360 is a `hidden beast` number, since 5 + 3 + 8 + 8 + 4 + 6 + 616 + 0 + 7 + 3 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205311 + ... + 10383230.

Almost surely, 2^{53884661607360} 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 53884661607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103276403251200).

53884661607360 is an abundant number, since it is smaller than the sum of its proper divisors (152668144895040).

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

53884661607360 is a wasteful number, since it uses less digits than its factorization.

53884661607360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10588617 (or 10588601 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 53884661607360 in words is "fifty-three trillion, eight hundred eighty-four billion, six hundred sixty-one million, six hundred seven thousand, three hundred sixty".