1167806160000 has 800 divisors, whose sum is σ = 4598719173180. Its totient is φ = 293068800000.

The previous prime is 1167806159963. The next prime is 1167806160049. The reversal of 1167806160000 is 616087611.

It can be written as a sum of positive squares in 10 ways, for example, as 4359168576 + 1163446991424 = 66024^2 + 1078632^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 110154700 + ... + 110165300.

Almost surely, 2^{1167806160000} is an apocalyptic number.

1167806160000 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 1167806160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299359586590).

1167806160000 is an abundant number, since it is smaller than the sum of its proper divisors (3430913013180).

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

1167806160000 is an equidigital number, since it uses as much as digits as its factorization.

1167806160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10664 (or 10628 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1167806160000 in words is "one trillion, one hundred sixty-seven billion, eight hundred six million, one hundred sixty thousand".