11257989112777 has 24 divisors (see below), whose sum is σ = 12727062673416. Its totient is φ = 9943718400000.

The previous prime is 11257989112729. The next prime is 11257989112823. The reversal of 11257989112777 is 77721198975211.

It can be written as a sum of positive squares in 4 ways, for example, as 7726487478336 + 3531501634441 = 2779656^2 + 1879229^2 .

It is a de Polignac number, because none of the positive numbers 2^k-11257989112777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11257989110777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1344777 + ... + 4931977.

It is an arithmetic number, because the mean of its divisors is an integer number (530294278059).

Almost surely, 2^{11257989112777} is an apocalyptic number.

It is an amenable number.

11257989112777 is a deficient number, since it is larger than the sum of its proper divisors (1469073560639).

11257989112777 is a wasteful number, since it uses less digits than its factorization.

11257989112777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587961 (or 3587950 counting only the distinct ones).

The product of its digits is 31116960, while the sum is 67.

The spelling of 11257989112777 in words is "eleven trillion, two hundred fifty-seven billion, nine hundred eighty-nine million, one hundred twelve thousand, seven hundred seventy-seven".