52821568800 has 1728 divisors, whose sum is σ = 261826992000. Its totient is φ = 10102579200.

The previous prime is 52821568759. The next prime is 52821568801. The reversal of 52821568800 is 886512825.

52821568800 is a `hidden beast` number, since 5 + 2 + 8 + 2 + 1 + 568 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52821568801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 151351026 + ... + 151351374.

It is an arithmetic number, because the mean of its divisors is an integer number (151520250).

Almost surely, 2^52821568800 is an apocalyptic number.

52821568800 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 52821568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130913496000).

52821568800 is an abundant number, since it is smaller than the sum of its proper divisors (209005423200).

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

52821568800 is a wasteful number, since it uses less digits than its factorization.

52821568800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 52821568800 in words is "fifty-two billion, eight hundred twenty-one million, five hundred sixty-eight thousand, eight hundred".