11506723560 has 48 divisors (see below), whose sum is σ = 37396852740. Its totient is φ = 3068459520.

The previous prime is 11506723531. The next prime is 11506723597. The reversal of 11506723560 is 6532760511.

11506723560 is a `hidden beast` number, since 1 + 15 + 0 + 67 + 23 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10176370884 + 1330352676 = 100878^2 + 36474^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15981201 + ... + 15981920.

Almost surely, 2^11506723560 is an apocalyptic number.

11506723560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11506723560 is an abundant number, since it is smaller than the sum of its proper divisors (25890129180).

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

11506723560 is a wasteful number, since it uses less digits than its factorization.

11506723560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31963138 (or 31963131 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 11506723560 in words is "eleven billion, five hundred six million, seven hundred twenty-three thousand, five hundred sixty".