52768129225824 has 576 divisors, whose sum is σ = 162775084852800. Its totient is φ = 16831566305280.

The previous prime is 52768129225783. The next prime is 52768129225837. The reversal of 52768129225824 is 42852292186725.

52768129225824 is a `hidden beast` number, since 5 + 2 + 7 + 6 + 8 + 1 + 29 + 22 + 582 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5844289342 + ... + 5844298370.

It is an arithmetic number, because the mean of its divisors is an integer number (282595633425).

Almost surely, 2^{52768129225824} is an apocalyptic number.

52768129225824 is a gapful number since it is divisible by the number (54) 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 52768129225824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81387542426400).

52768129225824 is an abundant number, since it is smaller than the sum of its proper divisors (110006955626976).

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

52768129225824 is an frugal number, since it uses more digits than its factorization.

52768129225824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9195 (or 9132 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 52768129225824 in words is "fifty-two trillion, seven hundred sixty-eight billion, one hundred twenty-nine million, two hundred twenty-five thousand, eight hundred twenty-four".