5727801600 has 648 divisors, whose sum is σ = 22141916160. Its totient is φ = 1463132160.

The previous prime is 5727801587. The next prime is 5727801661. The reversal of 5727801600 is 61087275.

5727801600 is a `hidden beast` number, since 572 + 7 + 80 + 1 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×5727801600² = 65615422337925120000, which contains 22 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 45100737 + ... + 45100863.

Almost surely, 2^5727801600 is an apocalyptic number.

5727801600 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 5727801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11070958080).

5727801600 is an abundant number, since it is smaller than the sum of its proper divisors (16414114560).

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

5727801600 is a wasteful number, since it uses less digits than its factorization.

5727801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 5727801600 is about 75682.2409816200. The cubic root of 5727801600 is about 1789.2155150896.

Adding to 5727801600 its reverse (61087275), we get a palindrome (5788888875).

The spelling of 5727801600 in words is "five billion, seven hundred twenty-seven million, eight hundred one thousand, six hundred".