52540573747200 has 1152 divisors, whose sum is σ = 217221166955520. Its totient is φ = 10883727360000.

The previous prime is 52540573747199. The next prime is 52540573747201. The reversal of 52540573747200 is 274737504525.

It is an interprime number because it is at equal distance from previous prime (52540573747199) and next prime (52540573747201).

It is not an unprimeable number, because it can be changed into a prime (52540573747201) 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 95 ways as a sum of consecutive naturals, for example, 3914796490 + ... + 3914809910.

It is an arithmetic number, because the mean of its divisors is an integer number (188560040760).

Almost surely, 2^{52540573747200} is an apocalyptic number.

52540573747200 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 52540573747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108610583477760).

52540573747200 is an abundant number, since it is smaller than the sum of its proper divisors (164680593208320).

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

52540573747200 is a wasteful number, since it uses less digits than its factorization.

52540573747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13805 (or 13780 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 51.

The spelling of 52540573747200 in words is "fifty-two trillion, five hundred forty billion, five hundred seventy-three million, seven hundred forty-seven thousand, two hundred".