1161023537280 has 128 divisors (see below), whose sum is σ = 3702005233920. Its totient is φ = 309502312448.

The previous prime is 1161023537257. The next prime is 1161023537293. The reversal of 1161023537280 is 827353201611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 5704144 + ... + 5904176.

It is an arithmetic number, because the mean of its divisors is an integer number (28921915890).

Almost surely, 2^{1161023537280} is an apocalyptic number.

1161023537280 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 1161023537280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851002616960).

1161023537280 is an abundant number, since it is smaller than the sum of its proper divisors (2540981696640).

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

1161023537280 is a wasteful number, since it uses less digits than its factorization.

1161023537280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203078 (or 203066 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

Adding to 1161023537280 its reverse (827353201611), we get a palindrome (1988376738891).

The spelling of 1161023537280 in words is "one trillion, one hundred sixty-one billion, twenty-three million, five hundred thirty-seven thousand, two hundred eighty".