5657826800 has 30 divisors (see below), whose sum is σ = 13592929848. Its totient is φ = 2263130560.

The previous prime is 5657826761. The next prime is 5657826803. The reversal of 5657826800 is 86287565.

It is a super-3 number, since 3×5657826800³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5657826803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7071884 + ... + 7072683.

Almost surely, 2^5657826800 is an apocalyptic number.

5657826800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5657826800 is an abundant number, since it is smaller than the sum of its proper divisors (7935103048).

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

5657826800 is a wasteful number, since it uses less digits than its factorization.

5657826800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14144585 (or 14144574 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 47.

The square root of 5657826800 is about 75218.5269730802. The cubic root of 5657826800 is about 1781.8995418341.

The spelling of 5657826800 in words is "five billion, six hundred fifty-seven million, eight hundred twenty-six thousand, eight hundred".