11755520 has 112 divisors (see below), whose sum is σ = 33028128. Its totient is φ = 3932160.

The previous prime is 11755487. The next prime is 11755531. The reversal of 11755520 is 2555711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 11755520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286700 + ... + 286740.

It is an arithmetic number, because the mean of its divisors is an integer number (294894).

Almost surely, 2^11755520 is an apocalyptic number.

11755520 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 11755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16514064).

11755520 is an abundant number, since it is smaller than the sum of its proper divisors (21272608).

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

11755520 is an frugal number, since it uses more digits than its factorization.

11755520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 26.

The square root of 11755520 is about 3428.6323804106. The cubic root of 11755520 is about 227.3773923734.

The spelling of 11755520 in words is "eleven million, seven hundred fifty-five thousand, five hundred twenty".