11881650240 has 588 divisors, whose sum is σ = 44659940652. Its totient is φ = 3008378880.

The previous prime is 11881650229. The next prime is 11881650259. The reversal of 11881650240 is 4205618811.

It can be written as a sum of positive squares in 2 ways, for example, as 6456443904 + 5425206336 = 80352^2 + 73656^2 .

It is a super-2 number, since 2×11881650240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11881650195 and 11881650204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 224182054 + ... + 224182106.

Almost surely, 2^11881650240 is an apocalyptic number.

11881650240 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 11881650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22329970326).

11881650240 is an abundant number, since it is smaller than the sum of its proper divisors (32778290412).

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

11881650240 is an frugal number, since it uses more digits than its factorization.

11881650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 11881650240 in words is "eleven billion, eight hundred eighty-one million, six hundred fifty thousand, two hundred forty".