52145435200 has 168 divisors, whose sum is σ = 132084145280. Its totient is φ = 20253542400.

The previous prime is 52145435189. The next prime is 52145435213. The reversal of 52145435200 is 253454125.

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 23 ways as a sum of consecutive naturals, for example, 7707019 + ... + 7713781.

Almost surely, 2^52145435200 is an apocalyptic number.

52145435200 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 52145435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66042072640).

52145435200 is an abundant number, since it is smaller than the sum of its proper divisors (79938710080).

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

52145435200 is a wasteful number, since it uses less digits than its factorization.

52145435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6925 (or 6910 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 52145435200 its reverse (253454125), we get a palindrome (52398889325).

The spelling of 52145435200 in words is "fifty-two billion, one hundred forty-five million, four hundred thirty-five thousand, two hundred".