52489627200 has 252 divisors, whose sum is σ = 186828051540. Its totient is φ = 13977169920.

The previous prime is 52489627117. The next prime is 52489627279. The reversal of 52489627200 is 272698425.

52489627200 is a `hidden beast` number, since 524 + 89 + 6 + 27 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 680583744 + 51809043456 = 26088^2 + 227616^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11935402 + ... + 11939798.

Almost surely, 2^52489627200 is an apocalyptic number.

52489627200 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 52489627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93414025770).

52489627200 is an abundant number, since it is smaller than the sum of its proper divisors (134338424340).

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

52489627200 is a wasteful number, since it uses less digits than its factorization.

52489627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 52489627200 in words is "fifty-two billion, four hundred eighty-nine million, six hundred twenty-seven thousand, two hundred".