1161879044160 has 224 divisors, whose sum is σ = 3890053647360. Its totient is φ = 293003384832.

The previous prime is 1161879044149. The next prime is 1161879044197. The reversal of 1161879044160 is 614409781611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10212549 + ... + 10325691.

Almost surely, 2^{1161879044160} is an apocalyptic number.

1161879044160 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 1161879044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945026823680).

1161879044160 is an abundant number, since it is smaller than the sum of its proper divisors (2728174603200).

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

1161879044160 is a wasteful number, since it uses less digits than its factorization.

1161879044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113745 (or 113735 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 1161879044160 in words is "one trillion, one hundred sixty-one billion, eight hundred seventy-nine million, forty-four thousand, one hundred sixty".