11161261000 has 64 divisors (see below), whose sum is σ = 26135207280. Its totient is φ = 4461452800.

The previous prime is 11161260983. The next prime is 11161261009. The reversal of 11161261000 is 16216111.

It can be written as a sum of positive squares in 8 ways, for example, as 457703236 + 10703557764 = 21394^2 + 103458^2 .

It is a super-2 number, since 2×11161261000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11161261009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1970172 + ... + 1975828.

Almost surely, 2^11161261000 is an apocalyptic number.

11161261000 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 11161261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13067603640).

11161261000 is an abundant number, since it is smaller than the sum of its proper divisors (14973946280).

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

11161261000 is a wasteful number, since it uses less digits than its factorization.

11161261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7651 (or 7637 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 11161261000 its reverse (16216111), we get a palindrome (11177477111).

The spelling of 11161261000 in words is "eleven billion, one hundred sixty-one million, two hundred sixty-one thousand".