11505540132 has 48 divisors (see below), whose sum is σ = 30318198400. Its totient is φ = 3772306080.

The previous prime is 11505540103. The next prime is 11505540199. The reversal of 11505540132 is 23104550511.

11505540132 is a `hidden beast` number, since 115 + 0 + 5 + 540 + 1 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11505540096 and 11505540105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 866632 + ... + 879807.

Almost surely, 2^11505540132 is an apocalyptic number.

11505540132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11505540132 is an abundant number, since it is smaller than the sum of its proper divisors (18812658268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11505540132 is a wasteful number, since it uses less digits than its factorization.

11505540132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746513 (or 1746505 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 11505540132 in words is "eleven billion, five hundred five million, five hundred forty thousand, one hundred thirty-two".