11525827840 has 72 divisors (see below), whose sum is σ = 27626376960. Its totient is φ = 4607256576.

The previous prime is 11525827837. The next prime is 11525827843. The reversal of 11525827840 is 4872852511.

11525827840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11525827837) and next prime (11525827843).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11525827843) 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 7 ways as a sum of consecutive naturals, for example, 3693801 + ... + 3696919.

It is an arithmetic number, because the mean of its divisors is an integer number (383699680).

Almost surely, 2^11525827840 is an apocalyptic number.

11525827840 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 11525827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13813188480).

11525827840 is an abundant number, since it is smaller than the sum of its proper divisors (16100549120).

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

11525827840 is an equidigital number, since it uses as much as digits as its factorization.

11525827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6027 (or 6013 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 43.

The spelling of 11525827840 in words is "eleven billion, five hundred twenty-five million, eight hundred twenty-seven thousand, eight hundred forty".