11748124560 has 160 divisors (see below), whose sum is σ = 38610957312. Its totient is φ = 2949765120.

The previous prime is 11748124537. The next prime is 11748124561. The reversal of 11748124560 is 6542184711.

11748124560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11748124561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253942 + ... + 296618.

Almost surely, 2^11748124560 is an apocalyptic number.

11748124560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11748124560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305478656).

11748124560 is an abundant number, since it is smaller than the sum of its proper divisors (26862832752).

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

11748124560 is a wasteful number, since it uses less digits than its factorization.

11748124560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42761 (or 42755 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 11748124560 in words is "eleven billion, seven hundred forty-eight million, one hundred twenty-four thousand, five hundred sixty".