11505749553 has 48 divisors (see below), whose sum is σ = 17193130240. Its totient is φ = 7410154752.

The previous prime is 11505749551. The next prime is 11505749557. The reversal of 11505749553 is 35594750511.

11505749553 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 57 + 49 + 553 = 666.

It is not a de Polignac number, because 11505749553 - 2¹ = 11505749551 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11505749499 and 11505749508.

It is not an unprimeable number, because it can be changed into a prime (11505749551) 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 47 ways as a sum of consecutive naturals, for example, 24850200 + ... + 24850662.

Almost surely, 2^11505749553 is an apocalyptic number.

It is an amenable number.

11505749553 is a deficient number, since it is larger than the sum of its proper divisors (5687380687).

11505749553 is a wasteful number, since it uses less digits than its factorization.

11505749553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The spelling of 11505749553 in words is "eleven billion, five hundred five million, seven hundred forty-nine thousand, five hundred fifty-three".