52071129288 has 160 divisors (see below), whose sum is σ = 158477088000. Its totient is φ = 15912961920.

The previous prime is 52071129281. The next prime is 52071129329. The reversal of 52071129288 is 88292117025.

52071129288 is a `hidden beast` number, since 520 + 7 + 112 + 9 + 2 + 8 + 8 = 666.

It is a super-2 number, since 2×52071129288² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52071129281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 313458 + ... + 449886.

It is an arithmetic number, because the mean of its divisors is an integer number (990481800).

Almost surely, 2^52071129288 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 52071129288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79238544000).

52071129288 is an abundant number, since it is smaller than the sum of its proper divisors (106405958712).

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

52071129288 is a wasteful number, since it uses less digits than its factorization.

52071129288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136497 (or 136484 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 52071129288 in words is "fifty-two billion, seventy-one million, one hundred twenty-nine thousand, two hundred eighty-eight".