52816312846200 has 384 divisors, whose sum is σ = 167141011665600. Its totient is φ = 13793089536000.

The previous prime is 52816312846189. The next prime is 52816312846247. The reversal of 52816312846200 is 264821361825.

It is a super-2 number, since 2×52816312846200² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52816312846200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17254592670 + ... + 17254595730.

Almost surely, 2^{52816312846200} is an apocalyptic number.

52816312846200 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 52816312846200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83570505832800).

52816312846200 is an abundant number, since it is smaller than the sum of its proper divisors (114324698819400).

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

52816312846200 is a wasteful number, since it uses less digits than its factorization.

52816312846200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 52816312846200 in words is "fifty-two trillion, eight hundred sixteen billion, three hundred twelve million, eight hundred forty-six thousand, two hundred".