52045982005248 has 1152 divisors, whose sum is σ = 194089420062720. Its totient is φ = 13151467929600.

The previous prime is 52045982005243. The next prime is 52045982005271. The reversal of 52045982005248 is 84250028954025.

52045982005248 is a `hidden beast` number, since 5 + 2 + 0 + 4 + 5 + 98 + 20 + 0 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 52045982005194 and 52045982005203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52045982005243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6354040833 + ... + 6354049023.

It is an arithmetic number, because the mean of its divisors is an integer number (168480399360).

Almost surely, 2^{52045982005248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52045982005248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97044710031360).

52045982005248 is an abundant number, since it is smaller than the sum of its proper divisors (142043438057472).

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

52045982005248 is a wasteful number, since it uses less digits than its factorization.

52045982005248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8296 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 52045982005248 in words is "fifty-two trillion, forty-five billion, nine hundred eighty-two million, five thousand, two hundred forty-eight".