11682086807520 has 960 divisors, whose sum is σ = 45016378767360. Its totient is φ = 2842134220800.

The previous prime is 11682086807497. The next prime is 11682086807579. The reversal of 11682086807520 is 2570868028611.

11682086807520 is a `hidden beast` number, since 1 + 16 + 8 + 20 + 8 + 6 + 80 + 7 + 520 = 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 159 ways as a sum of consecutive naturals, for example, 1610652214 + ... + 1610659466.

It is an arithmetic number, because the mean of its divisors is an integer number (46892061216).

Almost surely, 2^{11682086807520} is an apocalyptic number.

11682086807520 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 11682086807520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22508189383680).

11682086807520 is an abundant number, since it is smaller than the sum of its proper divisors (33334291959840).

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

11682086807520 is a wasteful number, since it uses less digits than its factorization.

11682086807520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7541 (or 7524 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 11682086807520 in words is "eleven trillion, six hundred eighty-two billion, eighty-six million, eight hundred seven thousand, five hundred twenty".