11491050018240 has 2688 divisors, whose sum is σ = 49037313282048. Its totient is φ = 2534662471680.

The previous prime is 11491050018139. The next prime is 11491050018247. The reversal of 11491050018240 is 4281005019411.

11491050018240 is a `hidden beast` number, since 1 + 1 + 491 + 0 + 50 + 0 + 1 + 82 + 40 = 666.

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 = 11491050018195 and 11491050018204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11491050018247) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 33115417747 + ... + 33115418093.

It is an arithmetic number, because the mean of its divisors is an integer number (18243048096).

Almost surely, 2^{11491050018240} is an apocalyptic number.

11491050018240 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 11491050018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24518656641024).

11491050018240 is an abundant number, since it is smaller than the sum of its proper divisors (37546263263808).

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

11491050018240 is a wasteful number, since it uses less digits than its factorization.

11491050018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 11491050018240 in words is "eleven trillion, four hundred ninety-one billion, fifty million, eighteen thousand, two hundred forty".