52209732169728 has 1248 divisors, whose sum is σ = 188754798435840. Its totient is φ = 14086200360960.

The previous prime is 52209732169687. The next prime is 52209732169783. The reversal of 52209732169728 is 82796123790225.

52209732169728 is a `hidden beast` number, since 5 + 220 + 9 + 7 + 321 + 69 + 7 + 28 = 666.

52209732169728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×52209732169728² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 68969262726 + ... + 68969263482.

It is an arithmetic number, because the mean of its divisors is an integer number (151245832080).

Almost surely, 2^{52209732169728} 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 52209732169728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94377399217920).

52209732169728 is an abundant number, since it is smaller than the sum of its proper divisors (136545066266112).

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

52209732169728 is an equidigital number, since it uses as much as digits as its factorization.

52209732169728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 52209732169728 in words is "fifty-two trillion, two hundred nine billion, seven hundred thirty-two million, one hundred sixty-nine thousand, seven hundred twenty-eight".