11023354245200 has 240 divisors, whose sum is σ = 29339744844480. Its totient is φ = 3979627660800.

The previous prime is 11023354245179. The next prime is 11023354245223. The reversal of 11023354245200 is 254245332011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73929122 + ... + 74078078.

It is an arithmetic number, because the mean of its divisors is an integer number (122248936852).

Almost surely, 2^{11023354245200} is an apocalyptic number.

11023354245200 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 11023354245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14669872422240).

11023354245200 is an abundant number, since it is smaller than the sum of its proper divisors (18316390599280).

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

11023354245200 is a wasteful number, since it uses less digits than its factorization.

11023354245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149147 (or 149114 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 11023354245200 its reverse (254245332011), we get a palindrome (11277599577211).

The spelling of 11023354245200 in words is "eleven trillion, twenty-three billion, three hundred fifty-four million, two hundred forty-five thousand, two hundred".