11582338131936 has 768 divisors, whose sum is σ = 40934780006400. Its totient is φ = 3138766848000.

The previous prime is 11582338131913. The next prime is 11582338131961. The reversal of 11582338131936 is 63913183328511.

11582338131936 is a `hidden beast` number, since 1 + 1 + 58 + 23 + 381 + 3 + 193 + 6 = 666.

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 127 ways as a sum of consecutive naturals, for example, 1092565036 + ... + 1092575636.

It is an arithmetic number, because the mean of its divisors is an integer number (53300494800).

Almost surely, 2^{11582338131936} is an apocalyptic number.

11582338131936 is a gapful number since it is divisible by the number (16) 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 11582338131936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20467390003200).

11582338131936 is an abundant number, since it is smaller than the sum of its proper divisors (29352441874464).

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

11582338131936 is a wasteful number, since it uses less digits than its factorization.

11582338131936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10920 (or 10906 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 11582338131936 in words is "eleven trillion, five hundred eighty-two billion, three hundred thirty-eight million, one hundred thirty-one thousand, nine hundred thirty-six".