53008096221288 has 192 divisors, whose sum is σ = 158864680665600. Its totient is φ = 15861455562240.

The previous prime is 53008096221263. The next prime is 53008096221323. The reversal of 53008096221288 is 88212269080035.

It is a happy number.

53008096221288 is a `hidden beast` number, since 5 + 3 + 0 + 0 + 8 + 0 + 9 + 622 + 1 + 2 + 8 + 8 = 666.

53008096221288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 69264393 + ... + 70025511.

It is an arithmetic number, because the mean of its divisors is an integer number (827420211800).

Almost surely, 2^{53008096221288} 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 53008096221288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79432340332800).

53008096221288 is an abundant number, since it is smaller than the sum of its proper divisors (105856584444312).

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

53008096221288 is a wasteful number, since it uses less digits than its factorization.

53008096221288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763192 (or 763185 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 53008096221288 in words is "fifty-three trillion, eight billion, ninety-six million, two hundred twenty-one thousand, two hundred eighty-eight".