52350118128 has 320 divisors, whose sum is σ = 193389527040. Its totient is φ = 13158547200.

The previous prime is 52350118127. The next prime is 52350118141. The reversal of 52350118128 is 82181105325.

52350118128 is a `hidden beast` number, since 5 + 23 + 501 + 1 + 8 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52350118092 and 52350118101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52350118127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1005801 + ... + 1056567.

It is an arithmetic number, because the mean of its divisors is an integer number (604342272).

Almost surely, 2^52350118128 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 52350118128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96694763520).

52350118128 is an abundant number, since it is smaller than the sum of its proper divisors (141039408912).

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

52350118128 is a wasteful number, since it uses less digits than its factorization.

52350118128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50833 (or 50821 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 52350118128 in words is "fifty-two billion, three hundred fifty million, one hundred eighteen thousand, one hundred twenty-eight".