11130250400 has 72 divisors (see below), whose sum is σ = 27258060060. Its totient is φ = 4437954560.

The previous prime is 11130250393. The next prime is 11130250403. The reversal of 11130250400 is 405203111.

It can be written as a sum of positive squares in 6 ways, for example, as 4004864656 + 7125385744 = 63284^2 + 84412^2 .

It is not an unprimeable number, because it can be changed into a prime (11130250403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231656 + ... + 275544.

Almost surely, 2^11130250400 is an apocalyptic number.

11130250400 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 11130250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13629030030).

11130250400 is an abundant number, since it is smaller than the sum of its proper divisors (16127809660).

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

11130250400 is a wasteful number, since it uses less digits than its factorization.

11130250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44226 (or 44213 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 11130250400 its reverse (405203111), we get a palindrome (11535453511).

The spelling of 11130250400 in words is "eleven billion, one hundred thirty million, two hundred fifty thousand, four hundred".