1127364027076 has 81 divisors (see below), whose sum is σ = 2315045257959. Its totient is φ = 478970498496.

The previous prime is 1127364027037. The next prime is 1127364027173. The reversal of 1127364027076 is 6707204637211.

The square root of 1127364027076 is 1061774.

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 10706868676 + 1116657158400 = 103474^2 + 1056720^2 .

It is a super-2 number, since 2×1127364027076² (a number of 25 digits) contains 22 as substring.

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, 2214860310 + ... + 2214860818.

Almost surely, 2^{1127364027076} is an apocalyptic number.

1127364027076 is the 1061774-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1127364027076

1127364027076 is an abundant number, since it is smaller than the sum of its proper divisors (1187681230883).

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

1127364027076 is an frugal number, since it uses more digits than its factorization.

1127364027076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 46.

The spelling of 1127364027076 in words is "one trillion, one hundred twenty-seven billion, three hundred sixty-four million, twenty-seven thousand, seventy-six".