53271068682240 has 1152 divisors, whose sum is σ = 197739729532800. Its totient is φ = 13224325939200.

The previous prime is 53271068682217. The next prime is 53271068682253. The reversal of 53271068682240 is 4228686017235.

53271068682240 is a `hidden beast` number, since 5 + 327 + 10 + 6 + 8 + 68 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44355593640 + ... + 44355594840.

It is an arithmetic number, because the mean of its divisors is an integer number (171649070775).

Almost surely, 2^{53271068682240} 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 53271068682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98869864766400).

53271068682240 is an abundant number, since it is smaller than the sum of its proper divisors (144468660850560).

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

53271068682240 is a wasteful number, since it uses less digits than its factorization.

53271068682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 53271068682240 in words is "fifty-three trillion, two hundred seventy-one billion, sixty-eight million, six hundred eighty-two thousand, two hundred forty".