11251041110520 has 128 divisors (see below), whose sum is σ = 34123614819840. Its totient is φ = 2967418206720.

The previous prime is 11251041110513. The next prime is 11251041110521. The reversal of 11251041110520 is 2501114015211.

It is a super-2 number, since 2×11251041110520² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11251041110521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9279855 + ... + 10421985.

It is an arithmetic number, because the mean of its divisors is an integer number (266590740780).

Almost surely, 2^{11251041110520} is an apocalyptic number.

11251041110520 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 11251041110520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061807409920).

11251041110520 is an abundant number, since it is smaller than the sum of its proper divisors (22872573709320).

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

11251041110520 is a wasteful number, since it uses less digits than its factorization.

11251041110520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143045 (or 1143041 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 24.

Adding to 11251041110520 its reverse (2501114015211), we get a palindrome (13752155125731).

The spelling of 11251041110520 in words is "eleven trillion, two hundred fifty-one billion, forty-one million, one hundred ten thousand, five hundred twenty".