11680558815744 has 1600 divisors, whose sum is σ = 43831461273600. Its totient is φ = 3015246643200.

The previous prime is 11680558815743. The next prime is 11680558815749. The reversal of 11680558815744 is 44751885508611.

11680558815744 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 0 + 5 + 58 + 8 + 1 + 574 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (11680558815743) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 58696275357 + ... + 58696275555.

It is an arithmetic number, because the mean of its divisors is an integer number (27394663296).

Almost surely, 2^{11680558815744} is an apocalyptic number.

11680558815744 is a gapful number since it is divisible by the number (14) 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 11680558815744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21915730636800).

11680558815744 is an abundant number, since it is smaller than the sum of its proper divisors (32150902457856).

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

11680558815744 is a wasteful number, since it uses less digits than its factorization.

11680558815744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 43008000, while the sum is 63.

The spelling of 11680558815744 in words is "eleven trillion, six hundred eighty billion, five hundred fifty-eight million, eight hundred fifteen thousand, seven hundred forty-four".