52571141251200 has 1920 divisors, whose sum is σ = 241324650483840. Its totient is φ = 11072028672000.

The previous prime is 52571141251199. The next prime is 52571141251207. The reversal of 52571141251200 is 215214117525.

52571141251200 is a `hidden beast` number, since 5 + 2 + 571 + 1 + 4 + 12 + 51 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52571141251207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 630073485 + ... + 630156915.

It is an arithmetic number, because the mean of its divisors is an integer number (125689922127).

Almost surely, 2^{52571141251200} is an apocalyptic number.

52571141251200 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 52571141251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120662325241920).

52571141251200 is an abundant number, since it is smaller than the sum of its proper divisors (188753509232640).

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

52571141251200 is a wasteful number, since it uses less digits than its factorization.

52571141251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83508 (or 83482 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

Adding to 52571141251200 its reverse (215214117525), we get a palindrome (52786355368725).

The spelling of 52571141251200 in words is "fifty-two trillion, five hundred seventy-one billion, one hundred forty-one million, two hundred fifty-one thousand, two hundred".