11111443660800 has 1632 divisors, whose sum is σ = 47338567042560. Its totient is φ = 2534025461760.

The previous prime is 11111443660789. The next prime is 11111443660819. The reversal of 11111443660800 is 806634411111.

11111443660800 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 1 + 4 + 43 + 6 + 608 + 0 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 25082265379 + ... + 25082265821.

Almost surely, 2^{11111443660800} is an apocalyptic number.

11111443660800 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 11111443660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23669283521280).

11111443660800 is an abundant number, since it is smaller than the sum of its proper divisors (36227123381760).

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

11111443660800 is an frugal number, since it uses more digits than its factorization.

11111443660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11111443660800 in words is "eleven trillion, one hundred eleven billion, four hundred forty-three million, six hundred sixty thousand, eight hundred".