11558616385261 has 16 divisors (see below), whose sum is σ = 12882778011648. Its totient is φ = 10282284633600.

The previous prime is 11558616385241. The next prime is 11558616385301. The reversal of 11558616385261 is 16258361685511.

11558616385261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11558616385261 - 2⁷ = 11558616385133 is a prime.

It is a super-2 number, since 2×11558616385261² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11558616385196 and 11558616385205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11558616385241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56568460 + ... + 56772421.

It is an arithmetic number, because the mean of its divisors is an integer number (805173625728).

Almost surely, 2^{11558616385261} is an apocalyptic number.

11558616385261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11558616385261 is a deficient number, since it is larger than the sum of its proper divisors (1324161626387).

11558616385261 is a wasteful number, since it uses less digits than its factorization.

11558616385261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113341092.

The product of its digits is 10368000, while the sum is 58.

The spelling of 11558616385261 in words is "eleven trillion, five hundred fifty-eight billion, six hundred sixteen million, three hundred eighty-five thousand, two hundred sixty-one".