11303787168000 has 720 divisors, whose sum is σ = 42202319695536. Its totient is φ = 3004497100800.

The previous prime is 11303787167947. The next prime is 11303787168029. The reversal of 11303787168000 is 86178730311.

11303787168000 is a `hidden beast` number, since 1 + 130 + 378 + 71 + 6 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3509237903616 + 7794549264384 = 1873296^2 + 2791872^2 .

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

It is a super-3 number, since 3×11303787168000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 811289034 + ... + 811302966.

Almost surely, 2^{11303787168000} is an apocalyptic number.

11303787168000 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 11303787168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21101159847768).

11303787168000 is an abundant number, since it is smaller than the sum of its proper divisors (30898532527536).

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

11303787168000 is an equidigital number, since it uses as much as digits as its factorization.

11303787168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14289 (or 14256 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 11303787168000 in words is "eleven trillion, three hundred three billion, seven hundred eighty-seven million, one hundred sixty-eight thousand".