5683885128100 has 81 divisors (see below), whose sum is σ = 12775562058441. Its totient is φ = 2194888617600.

The previous prime is 5683885127993. The next prime is 5683885128107. The reversal of 5683885128100 is 18215883865.

The square root of 5683885128100 is 2384090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 708166008676 + 4975719119424 = 841526^2 + 2230632^2 .

It is a super-2 number, since 2×5683885128100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5683885128107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 691381990 + ... + 691390210.

Almost surely, 2^{5683885128100} is an apocalyptic number.

5683885128100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5683885128100 is the 2384090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5683885128100

5683885128100 is an abundant number, since it is smaller than the sum of its proper divisors (7091676930341).

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

5683885128100 is an frugal number, since it uses more digits than its factorization.

5683885128100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16514 (or 8257 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 55.

The spelling of 5683885128100 in words is "five trillion, six hundred eighty-three billion, eight hundred eighty-five million, one hundred twenty-eight thousand, one hundred".