11586252091680 has 2016 divisors, whose sum is σ = 49058897529600. Its totient is φ = 2576262205440.

The previous prime is 11586252091669. The next prime is 11586252091681. The reversal of 11586252091680 is 8619025268511.

11586252091680 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 625 + 2 + 0 + 9 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is not an unprimeable number, because it can be changed into a prime (11586252091681) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 58222372221 + ... + 58222372419.

It is an arithmetic number, because the mean of its divisors is an integer number (24334770600).

Almost surely, 2^{11586252091680} is an apocalyptic number.

11586252091680 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 11586252091680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24529448764800).

11586252091680 is an abundant number, since it is smaller than the sum of its proper divisors (37472645437920).

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

11586252091680 is a wasteful number, since it uses less digits than its factorization.

11586252091680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 11586252091680 in words is "eleven trillion, five hundred eighty-six billion, two hundred fifty-two million, ninety-one thousand, six hundred eighty".