11771867485440 has 216 divisors, whose sum is σ = 40739860482048. Its totient is φ = 3138361159680.

The previous prime is 11771867485439. The next prime is 11771867485463. The reversal of 11771867485440 is 4458476817711.

11771867485440 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 1 + 86 + 7 + 4 + 8 + 544 + 0 = 666.

11771867485440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11771867485440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45571045 + ... + 45828635.

Almost surely, 2^{11771867485440} is an apocalyptic number.

11771867485440 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 11771867485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20369930241024).

11771867485440 is an abundant number, since it is smaller than the sum of its proper divisors (28967992996608).

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

11771867485440 is a wasteful number, since it uses less digits than its factorization.

11771867485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261585 (or 261568 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 11771867485440 in words is "eleven trillion, seven hundred seventy-one billion, eight hundred sixty-seven million, four hundred eighty-five thousand, four hundred forty".