11522442400 has 144 divisors (see below), whose sum is σ = 33256621440. Its totient is φ = 3814272000.

The previous prime is 11522442397. The next prime is 11522442409. The reversal of 11522442400 is 424422511.

It is a super-2 number, since 2×11522442400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11522442409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126925 + ... + 197875.

It is an arithmetic number, because the mean of its divisors is an integer number (230948760).

Almost surely, 2^11522442400 is an apocalyptic number.

11522442400 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 11522442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16628310720).

11522442400 is an abundant number, since it is smaller than the sum of its proper divisors (21734179040).

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

11522442400 is a wasteful number, since it uses less digits than its factorization.

11522442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71007 (or 70994 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 11522442400 its reverse (424422511), we get a palindrome (11946864911).

The spelling of 11522442400 in words is "eleven billion, five hundred twenty-two million, four hundred forty-two thousand, four hundred".