11680198656 has 208 divisors, whose sum is σ = 35800305408. Its totient is φ = 3317760000.

The previous prime is 11680198639. The next prime is 11680198657. The reversal of 11680198656 is 65689108611.

It is a junction number, because it is equal to n+sod(n) for n = 11680198599 and 11680198608.

It is not an unprimeable number, because it can be changed into a prime (11680198657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21589746 + ... + 21590286.

Almost surely, 2^11680198656 is an apocalyptic number.

11680198656 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 11680198656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17900152704).

11680198656 is an abundant number, since it is smaller than the sum of its proper divisors (24120106752).

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

11680198656 is an equidigital number, since it uses as much as digits as its factorization.

11680198656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The spelling of 11680198656 in words is "eleven billion, six hundred eighty million, one hundred ninety-eight thousand, six hundred fifty-six".