11525483040 has 96 divisors (see below), whose sum is σ = 36536754240. Its totient is φ = 3053865984.

The previous prime is 11525483033. The next prime is 11525483051. The reversal of 11525483040 is 4038452511.

11525483040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 11525482992 and 11525483010.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1110 + ... + 151829.

It is an arithmetic number, because the mean of its divisors is an integer number (380591190).

Almost surely, 2^11525483040 is an apocalyptic number.

11525483040 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 11525483040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18268377120).

11525483040 is an abundant number, since it is smaller than the sum of its proper divisors (25011271200).

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

11525483040 is a wasteful number, since it uses less digits than its factorization.

11525483040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153114 (or 153106 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 11525483040 in words is "eleven billion, five hundred twenty-five million, four hundred eighty-three thousand, forty".