11523242400 has 72 divisors (see below), whose sum is σ = 37508161824. Its totient is φ = 3072864000.

The previous prime is 11523242389. The next prime is 11523242441. The reversal of 11523242400 is 424232511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2398276 + ... + 2403075.

It is an arithmetic number, because the mean of its divisors is an integer number (520946692).

Almost surely, 2^11523242400 is an apocalyptic number.

11523242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11523242400 is an abundant number, since it is smaller than the sum of its proper divisors (25984919424).

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

11523242400 is a wasteful number, since it uses less digits than its factorization.

11523242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4801374 (or 4801361 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 11523242400 its reverse (424232511), we get a palindrome (11947474911).

The spelling of 11523242400 in words is "eleven billion, five hundred twenty-three million, two hundred forty-two thousand, four hundred".