52612800 has 168 divisors, whose sum is σ = 175936656. Its totient is φ = 13762560.

The previous prime is 52612771. The next prime is 52612811. The reversal of 52612800 is 821625.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465544 + ... + 465656.

It is an arithmetic number, because the mean of its divisors is an integer number (1047242).

Almost surely, 2^52612800 is an apocalyptic number.

52612800 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 52612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87968328).

52612800 is an abundant number, since it is smaller than the sum of its proper divisors (123323856).

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

52612800 is a wasteful number, since it uses less digits than its factorization.

52612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 52612800 is about 7253.4681360023. The cubic root of 52612800 is about 374.7116004810.

The spelling of 52612800 in words is "fifty-two million, six hundred twelve thousand, eight hundred".