11676068379360 has 288 divisors, whose sum is σ = 49676364122112. Its totient is φ = 2426196003840.

The previous prime is 11676068379347. The next prime is 11676068379389. The reversal of 11676068379360 is 6397386067611.

11676068379360 is a `hidden beast` number, since 1 + 16 + 7 + 606 + 8 + 3 + 7 + 9 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52540944 + ... + 52762703.

It is an arithmetic number, because the mean of its divisors is an integer number (172487375424).

Almost surely, 2^{11676068379360} is an apocalyptic number.

11676068379360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11676068379360 is an abundant number, since it is smaller than the sum of its proper divisors (38000295742752).

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

11676068379360 is a wasteful number, since it uses less digits than its factorization.

11676068379360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105303686 (or 105303675 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 11676068379360 in words is "eleven trillion, six hundred seventy-six billion, sixty-eight million, three hundred seventy-nine thousand, three hundred sixty".