11881000000 has 147 divisors (see below), whose sum is σ = 29742920067. Its totient is φ = 4708800000.

The previous prime is 11880999961. The next prime is 11881000063. The reversal of 11881000000 is 18811.

The square root of 11881000000 is 109000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 11298839616 + 582160384 = 106296^2 + 24128^2 .

It is a super-2 number, since 2×11881000000² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 108999946 + ... + 109000054.

Almost surely, 2^11881000000 is an apocalyptic number.

11881000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11881000000 is the 109000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11881000000

11881000000 is an abundant number, since it is smaller than the sum of its proper divisors (17861920067).

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

11881000000 is an frugal number, since it uses more digits than its factorization.

11881000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Multiplying 11881000000 by its product of nonzero digits (64), we get a square (760384000000 = 872000²).

11881000000 divided by its product of nonzero digits (64) gives a square (185640625 = 13625²).

Adding to 11881000000 its reverse (18811), we get a palindrome (11881018811).

The spelling of 11881000000 in words is "eleven billion, eight hundred eighty-one million", and thus it is an aban number.