1160319431328 has 96 divisors (see below), whose sum is σ = 3064204878336. Its totient is φ = 384442027008.

The previous prime is 1160319431311. The next prime is 1160319431357. The reversal of 1160319431328 is 8231349130611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1160319431328.

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 15 ways as a sum of consecutive naturals, for example, 105737650 + ... + 105748622.

It is an arithmetic number, because the mean of its divisors is an integer number (31918800816).

Almost surely, 2^{1160319431328} 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 1160319431328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532102439168).

1160319431328 is an abundant number, since it is smaller than the sum of its proper divisors (1903885447008).

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

1160319431328 is a wasteful number, since it uses less digits than its factorization.

1160319431328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17526 (or 17518 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 1160319431328 in words is "one trillion, one hundred sixty billion, three hundred nineteen million, four hundred thirty-one thousand, three hundred twenty-eight".