1111263552000 has 720 divisors, whose sum is σ = 4656160872792. Its totient is φ = 253996646400.

The previous prime is 1111263551999. The next prime is 1111263552001. The reversal of 1111263552000 is 2553621111.

1111263552000 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 2 + 635 + 5 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1111263551999) and next prime (1111263552001).

It can be written as a sum of positive squares in 4 ways, for example, as 681536104704 + 429727447296 = 825552^2 + 655536^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (1111263552001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28204314 + ... + 28243686.

Almost surely, 2^{1111263552000} is an apocalyptic number.

1111263552000 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 1111263552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328080436396).

1111263552000 is an abundant number, since it is smaller than the sum of its proper divisors (3544897320792).

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

1111263552000 is an equidigital number, since it uses as much as digits as its factorization.

1111263552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39426 (or 39390 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 1111263552000 in words is "one trillion, one hundred eleven billion, two hundred sixty-three million, five hundred fifty-two thousand".