11521054440 has 400 divisors, whose sum is σ = 45205282980. Its totient is φ = 2631605760.

The previous prime is 11521054421. The next prime is 11521054459. The reversal of 11521054440 is 4445012511.

11521054440 is a `hidden beast` number, since 1 + 1 + 5 + 210 + 5 + 4 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (11521054421) and next prime (11521054459).

It can be written as a sum of positive squares in 2 ways, for example, as 11389585284 + 131469156 = 106722^2 + 11466^2 .

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 (19) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 7778500 + ... + 7779980.

Almost surely, 2^11521054440 is an apocalyptic number.

11521054440 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 11521054440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22602641490).

11521054440 is an abundant number, since it is smaller than the sum of its proper divisors (33684228540).

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

11521054440 is an equidigital number, since it uses as much as digits as its factorization.

11521054440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 11521054440 its reverse (4445012511), we get a palindrome (15966066951).

The spelling of 11521054440 in words is "eleven billion, five hundred twenty-one million, fifty-four thousand, four hundred forty".