11540054640105 has 64 divisors (see below), whose sum is σ = 20842952659200. Its totient is φ = 6057214801920.

The previous prime is 11540054639977. The next prime is 11540054640133. The reversal of 11540054640105 is 50104645004511.

11540054640105 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 0 + 0 + 5 + 4 + 640 + 1 + 0 + 5 = 666.

It is not a de Polignac number, because 11540054640105 - 2⁷ = 11540054639977 is a prime.

It is a super-2 number, since 2×11540054640105² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11540054640105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117606 + ... + 4805615.

It is an arithmetic number, because the mean of its divisors is an integer number (325671135300).

Almost surely, 2^{11540054640105} is an apocalyptic number.

11540054640105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11540054640105 is a deficient number, since it is larger than the sum of its proper divisors (9302898019095).

11540054640105 is a wasteful number, since it uses less digits than its factorization.

11540054640105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923511 (or 4923505 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 11540054640105 its reverse (50104645004511), we get a palindrome (61644699644616).

The spelling of 11540054640105 in words is "eleven trillion, five hundred forty billion, fifty-four million, six hundred forty thousand, one hundred five".