52731187200 has 468 divisors, whose sum is σ = 195483621060. Its totient is φ = 13569884160.

The previous prime is 52731187193. The next prime is 52731187207. The reversal of 52731187200 is 278113725.

52731187200 is a `hidden beast` number, since 5 + 273 + 1 + 187 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (52731187193) and next prime (52731187207).

It can be written as a sum of positive squares in 6 ways, for example, as 4063297536 + 48667889664 = 63744^2 + 220608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52731187207) 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, 26725414 + ... + 26727386.

It is an arithmetic number, because the mean of its divisors is an integer number (417700045).

Almost surely, 2^52731187200 is an apocalyptic number.

52731187200 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 52731187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97741810530).

52731187200 is an abundant number, since it is smaller than the sum of its proper divisors (142752433860).

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

52731187200 is a wasteful number, since it uses less digits than its factorization.

52731187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 52731187200 in words is "fifty-two billion, seven hundred thirty-one million, one hundred eighty-seven thousand, two hundred".