11523253440 has 56 divisors (see below), whose sum is σ = 36586332720. Its totient is φ = 3072867328.

The previous prime is 11523253421. The next prime is 11523253453. The reversal of 11523253440 is 4435232511.

11523253440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11523253398 and 11523253407.

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 7 ways as a sum of consecutive naturals, for example, 6000735 + ... + 6002654.

It is an arithmetic number, because the mean of its divisors is an integer number (653327370).

Almost surely, 2^11523253440 is an apocalyptic number.

11523253440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11523253440 is an abundant number, since it is smaller than the sum of its proper divisors (25063079280).

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

11523253440 is a wasteful number, since it uses less digits than its factorization.

11523253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12003409 (or 12003399 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 11523253440 its reverse (4435232511), we get a palindrome (15958485951).

The spelling of 11523253440 in words is "eleven billion, five hundred twenty-three million, two hundred fifty-three thousand, four hundred forty".