1161016000 has 112 divisors (see below), whose sum is σ = 2905231680. Its totient is φ = 459571200.

The previous prime is 1161015997. The next prime is 1161016001. The reversal of 1161016000 is 6101611.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1161016001) by changing a digit.

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, 823296 + ... + 824704.

Almost surely, 2^1161016000 is an apocalyptic number.

1161016000 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 1161016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452615840).

1161016000 is an abundant number, since it is smaller than the sum of its proper divisors (1744215680).

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

1161016000 is a wasteful number, since it uses less digits than its factorization.

1161016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 1161016000 is about 34073.6848609011. The cubic root of 1161016000 is about 1051.0242462049.

Adding to 1161016000 its reverse (6101611), we get a palindrome (1167117611).

The spelling of 1161016000 in words is "one billion, one hundred sixty-one million, sixteen thousand".