1161746127360 has 1080 divisors, whose sum is σ = 5068897093260. Its totient is φ = 245075410944.

The previous prime is 1161746127343. The next prime is 1161746127389. The reversal of 1161746127360 is 637216471611.

It is a happy number.

1161746127360 is a `hidden beast` number, since 1 + 1 + 61 + 7 + 461 + 2 + 73 + 60 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 36551321856 + 1125194805504 = 191184^2 + 1060752^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 190791196 + ... + 190797284.

Almost surely, 2^{1161746127360} is an apocalyptic number.

1161746127360 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 1161746127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534448546630).

1161746127360 is an abundant number, since it is smaller than the sum of its proper divisors (3907150965900).

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

1161746127360 is a wasteful number, since it uses less digits than its factorization.

1161746127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158 (or 6119 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1161746127360 in words is "one trillion, one hundred sixty-one billion, seven hundred forty-six million, one hundred twenty-seven thousand, three hundred sixty".