11261313757600 has 36 divisors (see below), whose sum is σ = 27491682212694. Its totient is φ = 4504525502720.

The previous prime is 11261313757597. The next prime is 11261313757633. The reversal of 11261313757600 is 675731316211.

It can be written as a sum of positive squares in 3 ways, for example, as 10544385772944 + 716927984656 = 3247212^2 + 846716^2 .

It is a super-2 number, since 2×11261313757600² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 7038320299 + ... + 7038321898.

Almost surely, 2^{11261313757600} is an apocalyptic number.

11261313757600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11261313757600 is an abundant number, since it is smaller than the sum of its proper divisors (16230368455094).

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

11261313757600 is a wasteful number, since it uses less digits than its factorization.

11261313757600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14076642217 (or 14076642204 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The spelling of 11261313757600 in words is "eleven trillion, two hundred sixty-one billion, three hundred thirteen million, seven hundred fifty-seven thousand, six hundred".