11251115040000 has 720 divisors, whose sum is σ = 41816588958144. Its totient is φ = 2660966400000.

The previous prime is 11251115039929. The next prime is 11251115040017. The reversal of 11251115040000 is 4051115211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 216454014 + ... + 216505986.

Almost surely, 2^{11251115040000} is an apocalyptic number.

11251115040000 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 11251115040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20908294479072).

11251115040000 is an abundant number, since it is smaller than the sum of its proper divisors (30565473918144).

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

11251115040000 is an equidigital number, since it uses as much as digits as its factorization.

11251115040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52064 (or 52035 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 21.

Adding to 11251115040000 its reverse (4051115211), we get a palindrome (11255166155211).

The spelling of 11251115040000 in words is "eleven trillion, two hundred fifty-one billion, one hundred fifteen million, forty thousand".