11355043200000 has 264 divisors, whose sum is σ = 37829273240304. Its totient is φ = 3028008960000.

The previous prime is 11355043199993. The next prime is 11355043200001. The reversal of 11355043200000 is 234055311.

It is a super-4 number, since 4×11355043200000⁴ (a number of 53 digits) contains 4444 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 (11355043200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9008592 + ... + 10191408.

Almost surely, 2^{11355043200000} is an apocalyptic number.

11355043200000 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 11355043200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18914636620152).

11355043200000 is an abundant number, since it is smaller than the sum of its proper divisors (26474230040304).

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

11355043200000 is an frugal number, since it uses more digits than its factorization.

11355043200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182865 (or 1182827 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 11355043200000 its reverse (234055311), we get a palindrome (11355277255311).

The spelling of 11355043200000 in words is "eleven trillion, three hundred fifty-five billion, forty-three million, two hundred thousand".