10787867991121 has 27 divisors (see below), whose sum is σ = 11847173709267. Its totient is φ = 9818782796160.

The previous prime is 10787867991073. The next prime is 10787867991137. The reversal of 10787867991121 is 12119976878701.

The square root of 10787867991121 is 3284489.

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 10583563991121 + 204304000000 = 3253239^2 + 452000^2 .

It is not a de Polignac number, because 10787867991121 - 2⁷ = 10787867990993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10787867991821) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 3116978331 + ... + 3116981791.

Almost surely, 2^{10787867991121} is an apocalyptic number.

10787867991121 is the 3284489-th square number.

10787867991121 is the 1642245-th centered octagonal number.

It is an amenable number.

10787867991121 is a deficient number, since it is larger than the sum of its proper divisors (1059305718146).

10787867991121 is an frugal number, since it uses more digits than its factorization.

10787867991121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7094 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 67.

The spelling of 10787867991121 in words is "ten trillion, seven hundred eighty-seven billion, eight hundred sixty-seven million, nine hundred ninety-one thousand, one hundred twenty-one".