53205838560 has 432 divisors, whose sum is σ = 212356858896. Its totient is φ = 12095225856.

The previous prime is 53205838549. The next prime is 53205838561. The reversal of 53205838560 is 6583850235.

53205838560 is a `hidden beast` number, since 5 + 3 + 2 + 0 + 5 + 83 + 8 + 560 = 666.

It is a super-2 number, since 2×53205838560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53205838561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13616127 + ... + 13620033.

It is an arithmetic number, because the mean of its divisors is an integer number (491566803).

Almost surely, 2^53205838560 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 53205838560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106178429448).

53205838560 is an abundant number, since it is smaller than the sum of its proper divisors (159151020336).

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

53205838560 is a wasteful number, since it uses less digits than its factorization.

53205838560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 53205838560 in words is "fifty-three billion, two hundred five million, eight hundred thirty-eight thousand, five hundred sixty".