1166557010220 has 288 divisors, whose sum is σ = 4320451699200. Its totient is φ = 248837225472.

The previous prime is 1166557010209. The next prime is 1166557010221. The reversal of 1166557010220 is 220107556611.

1166557010220 is a `hidden beast` number, since 1 + 1 + 6 + 65 + 570 + 1 + 0 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1166557010221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1240336 + ... + 1967624.

It is an arithmetic number, because the mean of its divisors is an integer number (15001568400).

Almost surely, 2^{1166557010220} is an apocalyptic number.

1166557010220 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 1166557010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160225849600).

1166557010220 is an abundant number, since it is smaller than the sum of its proper divisors (3153894688980).

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

1166557010220 is a wasteful number, since it uses less digits than its factorization.

1166557010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727397 (or 727392 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 1166557010220 in words is "one trillion, one hundred sixty-six billion, five hundred fifty-seven million, ten thousand, two hundred twenty".