1166828871432 has 128 divisors (see below), whose sum is σ = 3348334448640. Its totient is φ = 331927580160.

The previous prime is 1166828871371. The next prime is 1166828871433. The reversal of 1166828871432 is 2341788286611.

It is a super-2 number, since 2×1166828871432² (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1166828871433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75432163 + ... + 75447629.

It is an arithmetic number, because the mean of its divisors is an integer number (26158862880).

Almost surely, 2^{1166828871432} is an apocalyptic number.

1166828871432 is a gapful number since it is divisible by the number (12) 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 1166828871432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674167224320).

1166828871432 is an abundant number, since it is smaller than the sum of its proper divisors (2181505577208).

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

1166828871432 is a wasteful number, since it uses less digits than its factorization.

1166828871432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17411 (or 17407 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 57.

The spelling of 1166828871432 in words is "one trillion, one hundred sixty-six billion, eight hundred twenty-eight million, eight hundred seventy-one thousand, four hundred thirty-two".