1166017934620 has 576 divisors, whose sum is σ = 3496946826240. Its totient is φ = 321250406400.

The previous prime is 1166017934503. The next prime is 1166017934657. The reversal of 1166017934620 is 264397106611.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 193142242 + ... + 193148278.

It is an arithmetic number, because the mean of its divisors is an integer number (6071088240).

Almost surely, 2^{1166017934620} is an apocalyptic number.

1166017934620 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 1166017934620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748473413120).

1166017934620 is an abundant number, since it is smaller than the sum of its proper divisors (2330928891620).

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

1166017934620 is a wasteful number, since it uses less digits than its factorization.

1166017934620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6154 (or 6145 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 1166017934620 in words is "one trillion, one hundred sixty-six billion, seventeen million, nine hundred thirty-four thousand, six hundred twenty".