52261701811200 has 5280 divisors, whose sum is σ = 251563123215360. Its totient is φ = 10434222489600.

The previous prime is 52261701811153. The next prime is 52261701811201. The reversal of 52261701811200 is 211810716225.

It is a happy number.

52261701811200 is a `hidden beast` number, since 5 + 2 + 2 + 617 + 0 + 1 + 8 + 11 + 20 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52261701811201) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 332877081522 + ... + 332877081678.

It is an arithmetic number, because the mean of its divisors is an integer number (47644530912).

Almost surely, 2^{52261701811200} is an apocalyptic number.

52261701811200 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 52261701811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125781561607680).

52261701811200 is an abundant number, since it is smaller than the sum of its proper divisors (199301421404160).

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

52261701811200 is a wasteful number, since it uses less digits than its factorization.

52261701811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 52261701811200 in words is "fifty-two trillion, two hundred sixty-one billion, seven hundred one million, eight hundred eleven thousand, two hundred".