52884892800 has 288 divisors, whose sum is σ = 190584269460. Its totient is φ = 13962240000.

The previous prime is 52884892793. The next prime is 52884892811. The reversal of 52884892800 is 829848825.

It is a happy number.

52884892800 is a `hidden beast` number, since 5 + 2 + 88 + 489 + 2 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 46562734656 + 6322158144 = 215784^2 + 79512^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2899710 + ... + 2917890.

Almost surely, 2^52884892800 is an apocalyptic number.

52884892800 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 52884892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95292134730).

52884892800 is an abundant number, since it is smaller than the sum of its proper divisors (137699376660).

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

52884892800 is a wasteful number, since it uses less digits than its factorization.

52884892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18312 (or 18292 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 52884892800 in words is "fifty-two billion, eight hundred eighty-four million, eight hundred ninety-two thousand, eight hundred".