52100188800 has 768 divisors, whose sum is σ = 205808256000. Its totient is φ = 11435212800.

The previous prime is 52100188793. The next prime is 52100188817. The reversal of 52100188800 is 888100125.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46146636 + ... + 46147764.

It is an arithmetic number, because the mean of its divisors is an integer number (267979500).

Almost surely, 2^52100188800 is an apocalyptic number.

52100188800 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 52100188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102904128000).

52100188800 is an abundant number, since it is smaller than the sum of its proper divisors (153708067200).

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

52100188800 is a wasteful number, since it uses less digits than its factorization.

52100188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 33.

Adding to 52100188800 its reverse (888100125), we get a palindrome (52988288925).

The spelling of 52100188800 in words is "fifty-two billion, one hundred million, one hundred eighty-eight thousand, eight hundred".