1161793087488 has 288 divisors, whose sum is σ = 3749822294400. Its totient is φ = 343469260800.

The previous prime is 1161793087421. The next prime is 1161793087573. The reversal of 1161793087488 is 8847803971611.

1161793087488 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 79 + 3 + 0 + 87 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8242953 + ... + 8382711.

It is an arithmetic number, because the mean of its divisors is an integer number (13020216300).

Almost surely, 2^{1161793087488} is an apocalyptic number.

1161793087488 is a gapful number since it is divisible by the number (18) 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 1161793087488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874911147200).

1161793087488 is an abundant number, since it is smaller than the sum of its proper divisors (2588029206912).

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

1161793087488 is a wasteful number, since it uses less digits than its factorization.

1161793087488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139839 (or 139816 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 1161793087488 in words is "one trillion, one hundred sixty-one billion, seven hundred ninety-three million, eighty-seven thousand, four hundred eighty-eight".