52851600 has 180 divisors, whose sum is σ = 187544916. Its totient is φ = 13777920.

The previous prime is 52851599. The next prime is 52851611. The reversal of 52851600 is 615825.

52851600 is a `hidden beast` number, since 5 + 2 + 8 + 51 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2214144 + 50637456 = 1488^2 + 7116^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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, 190662 + ... + 190938.

Almost surely, 2^52851600 is an apocalyptic number.

52851600 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 52851600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93772458).

52851600 is an abundant number, since it is smaller than the sum of its proper divisors (134693316).

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

52851600 is a wasteful number, since it uses less digits than its factorization.

52851600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 52851600 is about 7269.9105909220. The cubic root of 52851600 is about 375.2776610275.

The spelling of 52851600 in words is "fifty-two million, eight hundred fifty-one thousand, six hundred".