52588800 has 324 divisors, whose sum is σ = 207580464. Its totient is φ = 12595200.

The previous prime is 52588763. The next prime is 52588867. The reversal of 52588800 is 888525.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 633559 + ... + 633641.

Almost surely, 2^52588800 is an apocalyptic number.

52588800 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 52588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103790232).

52588800 is an abundant number, since it is smaller than the sum of its proper divisors (154991664).

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

52588800 is a wasteful number, since it uses less digits than its factorization.

52588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 52588800 is about 7251.8135662743. The cubic root of 52588800 is about 374.6546153228.

The spelling of 52588800 in words is "fifty-two million, five hundred eighty-eight thousand, eight hundred".