11682828917760 has 2816 divisors, whose sum is σ = 52467458899968. Its totient is φ = 2140353331200.

The previous prime is 11682828917759. The next prime is 11682828917797. The reversal of 11682828917760 is 6771982828611.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 11682828917691 and 11682828917700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 60532792224 + ... + 60532792416.

Almost surely, 2^{11682828917760} is an apocalyptic number.

11682828917760 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 11682828917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26233729449984).

11682828917760 is an abundant number, since it is smaller than the sum of its proper divisors (40784629982208).

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

11682828917760 is a wasteful number, since it uses less digits than its factorization.

11682828917760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 66.

The spelling of 11682828917760 in words is "eleven trillion, six hundred eighty-two billion, eight hundred twenty-eight million, nine hundred seventeen thousand, seven hundred sixty".