52133342400 has 504 divisors, whose sum is σ = 197488234944. Its totient is φ = 12998246400.

The previous prime is 52133342381. The next prime is 52133342419. The reversal of 52133342400 is 424333125.

52133342400 is a `hidden beast` number, since 5 + 213 + 3 + 3 + 42 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (52133342381) and next prime (52133342419).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42349785 + ... + 42351015.

It is an arithmetic number, because the mean of its divisors is an integer number (391841736).

Almost surely, 2^52133342400 is an apocalyptic number.

52133342400 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 52133342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98744117472).

52133342400 is an abundant number, since it is smaller than the sum of its proper divisors (145354892544).

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

52133342400 is a wasteful number, since it uses less digits than its factorization.

52133342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 52133342400 its reverse (424333125), we get a palindrome (52557675525).

The spelling of 52133342400 in words is "fifty-two billion, one hundred thirty-three million, three hundred forty-two thousand, four hundred".