52252420420200 has 1536 divisors, whose sum is σ = 220344777031680. Its totient is φ = 9891348480000.

The previous prime is 52252420420163. The next prime is 52252420420201. The reversal of 52252420420200 is 202402425225.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (52252420420201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25109283160 + ... + 25109285240.

It is an arithmetic number, because the mean of its divisors is an integer number (143453630880).

Almost surely, 2^{52252420420200} is an apocalyptic number.

52252420420200 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 52252420420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110172388515840).

52252420420200 is an abundant number, since it is smaller than the sum of its proper divisors (168092356611480).

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

52252420420200 is a wasteful number, since it uses less digits than its factorization.

52252420420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 52252420420200 its reverse (202402425225), we get a palindrome (52454822845425).

The spelling of 52252420420200 in words is "fifty-two trillion, two hundred fifty-two billion, four hundred twenty million, four hundred twenty thousand, two hundred".