52235643176640 has 1344 divisors, whose sum is σ = 225725945702400. Its totient is φ = 10770964807680.

The previous prime is 52235643176611. The next prime is 52235643176693. The reversal of 52235643176640 is 4667134653225.

52235643176640 is a `hidden beast` number, since 5 + 2 + 2 + 3 + 564 + 3 + 1 + 76 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19615335949 + ... + 19615338611.

Almost surely, 2^{52235643176640} 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 52235643176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112862972851200).

52235643176640 is an abundant number, since it is smaller than the sum of its proper divisors (173490302525760).

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

52235643176640 is a wasteful number, since it uses less digits than its factorization.

52235643176640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 52235643176640 in words is "fifty-two trillion, two hundred thirty-five billion, six hundred forty-three million, one hundred seventy-six thousand, six hundred forty".