52827000200 has 288 divisors, whose sum is σ = 142540932600. Its totient is φ = 18134138880.

The previous prime is 52827000181. The next prime is 52827000203. The reversal of 52827000200 is 200072825.

It can be written as a sum of positive squares in 36 ways, for example, as 19051176676 + 33775823524 = 138026^2 + 183782^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 52827000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52827000203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51138884 + ... + 51139916.

Almost surely, 2^52827000200 is an apocalyptic number.

52827000200 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 52827000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71270466300).

52827000200 is an abundant number, since it is smaller than the sum of its proper divisors (89713932400).

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

52827000200 is a wasteful number, since it uses less digits than its factorization.

52827000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The spelling of 52827000200 in words is "fifty-two billion, eight hundred twenty-seven million, two hundred", and thus it is an aban number.