11605127956900 has 243 divisors, whose sum is σ = 27746059572777. Its totient is φ = 4212229862400.

The previous prime is 11605127956889. The next prime is 11605127956909. The reversal of 11605127956900 is 965972150611.

The square root of 11605127956900 is 3406630.

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 3780979136676 + 7824148820224 = 1944474^2 + 2797168^2 .

It is a super-2 number, since 2×11605127956900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11605127956909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16794685555 + ... + 16794686245.

Almost surely, 2^{11605127956900} is an apocalyptic number.

11605127956900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11605127956900 is the 3406630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11605127956900

11605127956900 is an abundant number, since it is smaller than the sum of its proper divisors (16140931615877).

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

11605127956900 is an equidigital number, since it uses as much as digits as its factorization.

11605127956900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 52.

The spelling of 11605127956900 in words is "eleven trillion, six hundred five billion, one hundred twenty-seven million, nine hundred fifty-six thousand, nine hundred".