11657707620680 has 256 divisors, whose sum is σ = 29809740787200. Its totient is φ = 4100531635200.

The previous prime is 11657707620673. The next prime is 11657707620697. The reversal of 11657707620680 is 8602670775611.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 200313026 + ... + 200371214.

It is an arithmetic number, because the mean of its divisors is an integer number (116444299950).

Almost surely, 2^{11657707620680} is an apocalyptic number.

11657707620680 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 11657707620680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14904870393600).

11657707620680 is an abundant number, since it is smaller than the sum of its proper divisors (18152033166520).

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

11657707620680 is a wasteful number, since it uses less digits than its factorization.

11657707620680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58357 (or 58331 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 56.

The spelling of 11657707620680 in words is "eleven trillion, six hundred fifty-seven billion, seven hundred seven million, six hundred twenty thousand, six hundred eighty".