52689844800 has 252 divisors, whose sum is σ = 193731344820. Its totient is φ = 13566013440.

The previous prime is 52689844789. The next prime is 52689844807. The reversal of 52689844800 is 844898625.

52689844800 is a `hidden beast` number, since 5 + 2 + 6 + 89 + 84 + 480 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4349666304 + 48340178496 = 65952^2 + 219864^2 .

It is not an unprimeable number, because it can be changed into a prime (52689844807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 354514 + ... + 480686.

Almost surely, 2^52689844800 is an apocalyptic number.

52689844800 is a gapful number since it is divisible by the number (50) 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 52689844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96865672410).

52689844800 is an abundant number, since it is smaller than the sum of its proper divisors (141041500020).

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

52689844800 is a wasteful number, since it uses less digits than its factorization.

52689844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126230 (or 126212 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 52689844800 in words is "fifty-two billion, six hundred eighty-nine million, eight hundred forty-four thousand, eight hundred".