52118400 has 192 divisors, whose sum is σ = 176439600. Its totient is φ = 13516800.

The previous prime is 52118383. The next prime is 52118411. The reversal of 52118400 is 481125.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585556 + ... + 585644.

Almost surely, 2^52118400 is an apocalyptic number.

52118400 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 52118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88219800).

52118400 is an abundant number, since it is smaller than the sum of its proper divisors (124321200).

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

52118400 is a wasteful number, since it uses less digits than its factorization.

52118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 52118400 is about 7219.3074460089. The cubic root of 52118400 is about 373.5341889712.

Adding to 52118400 its reverse (481125), we get a palindrome (52599525).

The spelling of 52118400 in words is "fifty-two million, one hundred eighteen thousand, four hundred".