52884748800 has 960 divisors, whose sum is σ = 213111360000. Its totient is φ = 12766740480.

The previous prime is 52884748781. The next prime is 52884748801. The reversal of 52884748800 is 884748825.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (52884748801) 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, 354931126 + ... + 354931274.

It is an arithmetic number, because the mean of its divisors is an integer number (221991000).

Almost surely, 2^52884748800 is an apocalyptic number.

52884748800 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 52884748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555680000).

52884748800 is an abundant number, since it is smaller than the sum of its proper divisors (160226611200).

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

52884748800 is a wasteful number, since it uses less digits than its factorization.

52884748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 52884748800 in words is "fifty-two billion, eight hundred eighty-four million, seven hundred forty-eight thousand, eight hundred".