1168805894400 has 648 divisors, whose sum is σ = 4367354575584. Its totient is φ = 309248409600.

The previous prime is 1168805894381. The next prime is 1168805894401. The reversal of 1168805894400 is 44985088611.

It is a happy number.

1168805894400 is a `hidden beast` number, since 1 + 16 + 8 + 8 + 0 + 589 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×1168805894400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1168805894401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 203728332 + ... + 203734068.

Almost surely, 2^{1168805894400} is an apocalyptic number.

1168805894400 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 1168805894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183677287792).

1168805894400 is an abundant number, since it is smaller than the sum of its proper divisors (3198548681184).

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

1168805894400 is an equidigital number, since it uses as much as digits as its factorization.

1168805894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5909 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 1168805894400 in words is "one trillion, one hundred sixty-eight billion, eight hundred five million, eight hundred ninety-four thousand, four hundred".