11357655675311 has 8 divisors (see below), whose sum is σ = 12390222240000. Its totient is φ = 10325097846040.

The previous prime is 11357655675293. The next prime is 11357655675349.

11357655675311 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11357655675311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11357655675371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 700340 + ... + 4817238.

It is an arithmetic number, because the mean of its divisors is an integer number (1548777780000).

Almost surely, 2^{11357655675311} is an apocalyptic number.

11357655675311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11357655675311 is a deficient number, since it is larger than the sum of its proper divisors (1032566564689).

11357655675311 is a wasteful number, since it uses less digits than its factorization.

11357655675311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367709.

The product of its digits is 9922500, while the sum is 56.

The spelling of 11357655675311 in words is "eleven trillion, three hundred fifty-seven billion, six hundred fifty-five million, six hundred seventy-five thousand, three hundred eleven".