11261165157 has 64 divisors (see below), whose sum is σ = 19218816000. Its totient is φ = 6445137600.

The previous prime is 11261165137. The next prime is 11261165159. The reversal of 11261165157 is 75156116211.

11261165157 is a `hidden beast` number, since 1 + 1 + 26 + 116 + 515 + 7 = 666.

It is not a de Polignac number, because 11261165157 - 2⁶ = 11261165093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11261165159) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1864819 + ... + 1870847.

It is an arithmetic number, because the mean of its divisors is an integer number (300294000).

Almost surely, 2^11261165157 is an apocalyptic number.

It is an amenable number.

11261165157 is a deficient number, since it is larger than the sum of its proper divisors (7957650843).

11261165157 is a wasteful number, since it uses less digits than its factorization.

11261165157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6399 (or 6393 counting only the distinct ones).

The product of its digits is 12600, while the sum is 36.

The spelling of 11261165157 in words is "eleven billion, two hundred sixty-one million, one hundred sixty-five thousand, one hundred fifty-seven".