52849857600 has 252 divisors, whose sum is σ = 188040017620. Its totient is φ = 14078361600.

The previous prime is 52849857589. The next prime is 52849857637. The reversal of 52849857600 is 675894825.

52849857600 is a `hidden beast` number, since 5 + 28 + 4 + 9 + 8 + 5 + 7 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2677441536 + 50172416064 = 51744^2 + 223992^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23168460 + ... + 23170740.

Almost surely, 2^52849857600 is an apocalyptic number.

52849857600 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 52849857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94020008810).

52849857600 is an abundant number, since it is smaller than the sum of its proper divisors (135190160020).

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

52849857600 is a wasteful number, since it uses less digits than its factorization.

52849857600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 52849857600 in words is "fifty-two billion, eight hundred forty-nine million, eight hundred fifty-seven thousand, six hundred".