11582279216640 has 2160 divisors, whose sum is σ = 47238389518320. Its totient is φ = 2719634227200.

The previous prime is 11582279216633. The next prime is 11582279216657. The reversal of 11582279216640 is 4661297228511.

11582279216640 is a `hidden beast` number, since 1 + 1 + 582 + 2 + 7 + 9 + 2 + 16 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 83325749691 + ... + 83325749829.

It is an arithmetic number, because the mean of its divisors is an integer number (21869624777).

Almost surely, 2^{11582279216640} is an apocalyptic number.

11582279216640 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 11582279216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23619194759160).

11582279216640 is an abundant number, since it is smaller than the sum of its proper divisors (35656110301680).

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

11582279216640 is an frugal number, since it uses more digits than its factorization.

11582279216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 11582279216640 in words is "eleven trillion, five hundred eighty-two billion, two hundred seventy-nine million, two hundred sixteen thousand, six hundred forty".