52434131200 has 216 divisors, whose sum is σ = 144882039456. Its totient is φ = 18622464000.

The previous prime is 52434131089. The next prime is 52434131207. The reversal of 52434131200 is 213143425.

It is a super-2 number, since 2×52434131200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (52434131207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3018540 + ... + 3035860.

Almost surely, 2^52434131200 is an apocalyptic number.

52434131200 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 52434131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72441019728).

52434131200 is an abundant number, since it is smaller than the sum of its proper divisors (92447908256).

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

52434131200 is a wasteful number, since it uses less digits than its factorization.

52434131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17401 (or 17382 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 52434131200 its reverse (213143425), we get a palindrome (52647274625).

The spelling of 52434131200 in words is "fifty-two billion, four hundred thirty-four million, one hundred thirty-one thousand, two hundred".