52412408041728 has 576 divisors, whose sum is σ = 174927169589760. Its totient is φ = 13584109142016.

The previous prime is 52412408041687. The next prime is 52412408041729. The reversal of 52412408041728 is 82714080421425.

52412408041728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (52412408041729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1529245200 + ... + 1529279472.

It is an arithmetic number, because the mean of its divisors is an integer number (303693002760).

Almost surely, 2^{52412408041728} is an apocalyptic number.

52412408041728 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52412408041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87463584794880).

52412408041728 is an abundant number, since it is smaller than the sum of its proper divisors (122514761548032).

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

52412408041728 is a wasteful number, since it uses less digits than its factorization.

52412408041728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34922 (or 34908 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The spelling of 52412408041728 in words is "fifty-two trillion, four hundred twelve billion, four hundred eight million, forty-one thousand, seven hundred twenty-eight".