1180879792128 has 288 divisors, whose sum is σ = 3735774642600. Its totient is φ = 357694439424.

The previous prime is 1180879792123. The next prime is 1180879792159. The reversal of 1180879792128 is 8212979780811.

It can be written as a sum of positive squares in 4 ways, for example, as 1132845179904 + 48034612224 = 1064352^2 + 219168^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1180879792123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9022000 + ... + 9151952.

Almost surely, 2^{1180879792128} is an apocalyptic number.

1180879792128 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 1180879792128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867887321300).

1180879792128 is an abundant number, since it is smaller than the sum of its proper divisors (2554894850472).

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

1180879792128 is a wasteful number, since it uses less digits than its factorization.

1180879792128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130027 (or 130004 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 63.

The spelling of 1180879792128 in words is "one trillion, one hundred eighty billion, eight hundred seventy-nine million, seven hundred ninety-two thousand, one hundred twenty-eight".