53875609879168 has 576 divisors, whose sum is σ = 149996991594240. Its totient is φ = 19118337638400.

The previous prime is 53875609879163. The next prime is 53875609879177. The reversal of 53875609879168 is 86197890657835.

It is a junction number, because it is equal to n+sod(n) for n = 53875609879091 and 53875609879100.

It is not an unprimeable number, because it can be changed into a prime (53875609879163) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 399879271 + ... + 400013977.

It is an arithmetic number, because the mean of its divisors is an integer number (260411443740).

Almost surely, 2^{53875609879168} 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 53875609879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74998495797120).

53875609879168 is an abundant number, since it is smaller than the sum of its proper divisors (96121381715072).

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

53875609879168 is a wasteful number, since it uses less digits than its factorization.

53875609879168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134805 (or 134775 counting only the distinct ones).

The product of its (nonzero) digits is 5486745600, while the sum is 82.

The spelling of 53875609879168 in words is "fifty-three trillion, eight hundred seventy-five billion, six hundred nine million, eight hundred seventy-nine thousand, one hundred sixty-eight".