10777718905668 has 192 divisors, whose sum is σ = 33317202186240. Its totient is φ = 2969750044800.

The previous prime is 10777718905651. The next prime is 10777718905673. The reversal of 10777718905668 is 86650981777701.

It is a junction number, because it is equal to n+sod(n) for n = 10777718905596 and 10777718905605.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4173148 + ... + 6242643.

It is an arithmetic number, because the mean of its divisors is an integer number (173527094720).

Almost surely, 2^{10777718905668} is an apocalyptic number.

10777718905668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10777718905668 is an abundant number, since it is smaller than the sum of its proper divisors (22539483280572).

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

10777718905668 is a wasteful number, since it uses less digits than its factorization.

10777718905668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10415895 (or 10415887 counting only the distinct ones).

The product of its (nonzero) digits is 248935680, while the sum is 72.

The spelling of 10777718905668 in words is "ten trillion, seven hundred seventy-seven billion, seven hundred eighteen million, nine hundred five thousand, six hundred sixty-eight".