53817082165440 has 672 divisors, whose sum is σ = 205046382977280. Its totient is φ = 12845819289600.

The previous prime is 53817082165417. The next prime is 53817082165459. The reversal of 53817082165440 is 4456128071835.

It is a happy number.

53817082165440 is a `hidden beast` number, since 5 + 3 + 8 + 1 + 7 + 0 + 82 + 16 + 544 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5919815295 + ... + 5919824385.

Almost surely, 2^{53817082165440} 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 53817082165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102523191488640).

53817082165440 is an abundant number, since it is smaller than the sum of its proper divisors (151229300811840).

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

53817082165440 is a wasteful number, since it uses less digits than its factorization.

53817082165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11981 (or 11968 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 53817082165440 in words is "fifty-three trillion, eight hundred seventeen billion, eighty-two million, one hundred sixty-five thousand, four hundred forty".