1167532320768 has 384 divisors, whose sum is σ = 3657714278400. Its totient is φ = 327485030400.

The previous prime is 1167532320743. The next prime is 1167532320781. The reversal of 1167532320768 is 8670232357611.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1167532320768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48175278 + ... + 48199506.

It is an arithmetic number, because the mean of its divisors is an integer number (9525297600).

Almost surely, 2^{1167532320768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1167532320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828857139200).

1167532320768 is an abundant number, since it is smaller than the sum of its proper divisors (2490181957632).

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

1167532320768 is a wasteful number, since it uses less digits than its factorization.

1167532320768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24319 (or 24299 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 1167532320768 in words is "one trillion, one hundred sixty-seven billion, five hundred thirty-two million, three hundred twenty thousand, seven hundred sixty-eight".