52146828288 has 132 divisors (see below), whose sum is σ = 151179432768. Its totient is φ = 17312256000.

The previous prime is 52146828287. The next prime is 52146828289. The reversal of 52146828288 is 88282864125.

52146828288 is a `hidden beast` number, since 5 + 21 + 468 + 2 + 82 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (52146828287) and next prime (52146828289).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52146828287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2301945 + ... + 2324487.

Almost surely, 2^52146828288 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 52146828288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75589716384).

52146828288 is an abundant number, since it is smaller than the sum of its proper divisors (99032604480).

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

52146828288 is a wasteful number, since it uses less digits than its factorization.

52146828288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22820 (or 22799 counting only the distinct ones).

The product of its digits is 3932160, while the sum is 54.

The spelling of 52146828288 in words is "fifty-two billion, one hundred forty-six million, eight hundred twenty-eight thousand, two hundred eighty-eight".