5706201600 has 960 divisors, whose sum is σ = 24355584000. Its totient is φ = 1293926400.

The previous prime is 5706201563. The next prime is 5706201643. The reversal of 5706201600 is 61026075.

5706201600 is a `hidden beast` number, since 57 + 0 + 6 + 2 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 72230361 + ... + 72230439.

It is an arithmetic number, because the mean of its divisors is an integer number (25370400).

Almost surely, 2^5706201600 is an apocalyptic number.

5706201600 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 5706201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12177792000).

5706201600 is an abundant number, since it is smaller than the sum of its proper divisors (18649382400).

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

5706201600 is a wasteful number, since it uses less digits than its factorization.

5706201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5706201600 is about 75539.4042867694. The cubic root of 5706201600 is about 1786.9635901659.

Adding to 5706201600 its reverse (61026075), we get a palindrome (5767227675).

The spelling of 5706201600 in words is "five billion, seven hundred six million, two hundred one thousand, six hundred".