869127352900 has 81 divisors (see below), whose sum is σ = 1923356233911. Its totient is φ = 340897577280.

The previous prime is 869127352889. The next prime is 869127352931. The reversal of 869127352900 is 9253721968.

The square root of 869127352900 is 932270.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6547075396 + 862580277504 = 80914^2 + 928752^2 .

It is a super-2 number, since 2×869127352900² (a number of 25 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 (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 494102221 + ... + 494103979.

Almost surely, 2^869127352900 is an apocalyptic number.

869127352900 is the 932270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 869127352900

869127352900 is an abundant number, since it is smaller than the sum of its proper divisors (1054228881011).

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

869127352900 is an equidigital number, since it uses as much as digits as its factorization.

869127352900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 869127352900 in words is "eight hundred sixty-nine billion, one hundred twenty-seven million, three hundred fifty-two thousand, nine hundred".