52484808448800 has 2304 divisors, whose sum is σ = 236861479895040. Its totient is φ = 10921236480000.

The previous prime is 52484808448777. The next prime is 52484808448843. The reversal of 52484808448800 is 884480848425.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 91917352515 + ... + 91917353085.

It is an arithmetic number, because the mean of its divisors is an integer number (102804461760).

Almost surely, 2^{52484808448800} is an apocalyptic number.

52484808448800 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 52484808448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118430739947520).

52484808448800 is an abundant number, since it is smaller than the sum of its proper divisors (184376671446240).

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

52484808448800 is a wasteful number, since it uses less digits than its factorization.

52484808448800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 83886080, while the sum is 63.

The spelling of 52484808448800 in words is "fifty-two trillion, four hundred eighty-four billion, eight hundred eight million, four hundred forty-eight thousand, eight hundred".