1166195980656 has 1920 divisors, whose sum is σ = 4652802201600. Its totient is φ = 271963422720.

The previous prime is 1166195980601. The next prime is 1166195980667. The reversal of 1166195980656 is 6560895916611.

1166195980656 is a `hidden beast` number, since 1 + 1 + 6 + 619 + 5 + 9 + 8 + 0 + 6 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1166195980593 and 1166195980602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19117966866 + ... + 19117966926.

It is an arithmetic number, because the mean of its divisors is an integer number (2423334480).

Almost surely, 2^{1166195980656} is an apocalyptic number.

1166195980656 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 1166195980656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326401100800).

1166195980656 is an abundant number, since it is smaller than the sum of its proper divisors (3486606220944).

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

1166195980656 is a wasteful number, since it uses less digits than its factorization.

1166195980656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 1166195980656 in words is "one trillion, one hundred sixty-six billion, one hundred ninety-five million, nine hundred eighty thousand, six hundred fifty-six".