5758224136900 has 27 divisors (see below), whose sum is σ = 12495398449261. Its totient is φ = 2303280056240.

The previous prime is 5758224136879. The next prime is 5758224136937. The reversal of 5758224136900 is 96314228575.

The square root of 5758224136900 is 2399630.

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

It can be written as a sum of positive squares in only one way, i.e., 2072960689284 + 3685263447616 = 1439778^2 + 1919704^2 .

It is a super-2 number, since 2×5758224136900² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23876319 + ... + 24116281.

It is a 1-persistent number, because it is pandigital, but 2⋅5758224136900 = 11516448273800 is not.

Almost surely, 2^{5758224136900} is an apocalyptic number.

5758224136900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5758224136900 is the 2399630-th square number.

It is an amenable number.

5758224136900 is an abundant number, since it is smaller than the sum of its proper divisors (6737174312361).

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

5758224136900 is an frugal number, since it uses more digits than its factorization.

5758224136900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479940 (or 239970 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 5758224136900 in words is "five trillion, seven hundred fifty-eight billion, two hundred twenty-four million, one hundred thirty-six thousand, nine hundred".