11761321160 has 64 divisors (see below), whose sum is σ = 26986705200. Its totient is φ = 4611582976.

The previous prime is 11761321153. The next prime is 11761321177. The reversal of 11761321160 is 6112316711.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6408642916 + 5352678244 = 80054^2 + 73162^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3468746 + ... + 3472134.

Almost surely, 2^11761321160 is an apocalyptic number.

11761321160 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 11761321160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13493352600).

11761321160 is an abundant number, since it is smaller than the sum of its proper divisors (15225384040).

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

11761321160 is a wasteful number, since it uses less digits than its factorization.

11761321160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

Adding to 11761321160 its reverse (6112316711), we get a palindrome (17873637871).

The spelling of 11761321160 in words is "eleven billion, seven hundred sixty-one million, three hundred twenty-one thousand, one hundred sixty".