52034306688 has 640 divisors, whose sum is σ = 192499655040. Its totient is φ = 13586227200.

The previous prime is 52034306683. The next prime is 52034306711. The reversal of 52034306688 is 88660343025.

It is a happy number.

52034306688 is a `hidden beast` number, since 5 + 203 + 430 + 6 + 6 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (52034306683) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 123596718 + ... + 123597138.

It is an arithmetic number, because the mean of its divisors is an integer number (300780711).

Almost surely, 2^52034306688 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 52034306688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96249827520).

52034306688 is an abundant number, since it is smaller than the sum of its proper divisors (140465348352).

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

52034306688 is a wasteful number, since it uses less digits than its factorization.

52034306688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 52034306688 in words is "fifty-two billion, thirty-four million, three hundred six thousand, six hundred eighty-eight".