52817107200 has 432 divisors, whose sum is σ = 204791434176. Its totient is φ = 11818598400.

The previous prime is 52817107157. The next prime is 52817107223. The reversal of 52817107200 is 270171825.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 2735982 + ... + 2755218.

Almost surely, 2^52817107200 is an apocalyptic number.

52817107200 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 52817107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102395717088).

52817107200 is an abundant number, since it is smaller than the sum of its proper divisors (151974326976).

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

52817107200 is a wasteful number, since it uses less digits than its factorization.

52817107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19290 (or 19271 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

It can be divided in two parts, 528 and 17107200, that multiplied together give a square (9032601600 = 95040²).

The spelling of 52817107200 in words is "fifty-two billion, eight hundred seventeen million, one hundred seven thousand, two hundred".