11525760 has 256 divisors, whose sum is σ = 44064000. Its totient is φ = 2838528.

The previous prime is 11525753. The next prime is 11525771. The reversal of 11525760 is 6752511.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397426 + ... + 397454.

It is an arithmetic number, because the mean of its divisors is an integer number (172125).

Almost surely, 2^11525760 is an apocalyptic number.

11525760 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 11525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032000).

11525760 is an abundant number, since it is smaller than the sum of its proper divisors (32538240).

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

11525760 is a wasteful number, since it uses less digits than its factorization.

11525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 11525760 is about 3394.9609717933. The cubic root of 11525760 is about 225.8862821008.

The spelling of 11525760 in words is "eleven million, five hundred twenty-five thousand, seven hundred sixty".