53805606238296 has 512 divisors, whose sum is σ = 171722260224000. Its totient is φ = 15464726323200.

The previous prime is 53805606238243. The next prime is 53805606238297. The reversal of 53805606238296 is 69283260650835.

53805606238296 is a `hidden beast` number, since 5 + 3 + 8 + 0 + 560 + 62 + 3 + 8 + 2 + 9 + 6 = 666.

53805606238296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53805606238297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 555467500 + ... + 555564356.

It is an arithmetic number, because the mean of its divisors is an integer number (335395039500).

Almost surely, 2^{53805606238296} 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 53805606238296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85861130112000).

53805606238296 is an abundant number, since it is smaller than the sum of its proper divisors (117916653985704).

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

53805606238296 is a wasteful number, since it uses less digits than its factorization.

53805606238296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97080 (or 97070 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 53805606238296 in words is "fifty-three trillion, eight hundred five billion, six hundred six million, two hundred thirty-eight thousand, two hundred ninety-six".