11025331140400 has 120 divisors (see below), whose sum is σ = 26889096268944. Its totient is φ = 4343438668800.

The previous prime is 11025331140287. The next prime is 11025331140413. The reversal of 11025331140400 is 404113352011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142885830 + ... + 142962970.

Almost surely, 2^{11025331140400} is an apocalyptic number.

11025331140400 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 11025331140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444548134472).

11025331140400 is an abundant number, since it is smaller than the sum of its proper divisors (15863765128544).

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

11025331140400 is a wasteful number, since it uses less digits than its factorization.

11025331140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82559 (or 82548 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 11025331140400 its reverse (404113352011), we get a palindrome (11429444492411).

The spelling of 11025331140400 in words is "eleven trillion, twenty-five billion, three hundred thirty-one million, one hundred forty thousand, four hundred".