11125598215200 has 1440 divisors, whose sum is σ = 44750113309440. Its totient is φ = 2394049996800.

The previous prime is 11125598215177. The next prime is 11125598215247. The reversal of 11125598215200 is 251289552111.

It is a happy number.

It is a super-2 number, since 2×11125598215200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 33612079035 + ... + 33612079365.

It is an arithmetic number, because the mean of its divisors is an integer number (31076467576).

Almost surely, 2^{11125598215200} is an apocalyptic number.

11125598215200 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 11125598215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22375056654720).

11125598215200 is an abundant number, since it is smaller than the sum of its proper divisors (33624515094240).

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

11125598215200 is a wasteful number, since it uses less digits than its factorization.

11125598215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 42.

The spelling of 11125598215200 in words is "eleven trillion, one hundred twenty-five billion, five hundred ninety-eight million, two hundred fifteen thousand, two hundred".