11141952307200 has 1368 divisors, whose sum is σ = 46926144357456. Its totient is φ = 2491416576000.

The previous prime is 11141952307151. The next prime is 11141952307219. The reversal of 11141952307200 is 270325914111.

It is a happy number.

11141952307200 is a `hidden beast` number, since 1 + 1 + 1 + 419 + 5 + 2 + 30 + 7 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8434482540 + ... + 8434483860.

Almost surely, 2^{11141952307200} is an apocalyptic number.

11141952307200 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 11141952307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23463072178728).

11141952307200 is an abundant number, since it is smaller than the sum of its proper divisors (35784192050256).

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

11141952307200 is a wasteful number, since it uses less digits than its factorization.

11141952307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 11141952307200 in words is "eleven trillion, one hundred forty-one billion, nine hundred fifty-two million, three hundred seven thousand, two hundred".