1989167910912 has 1872 divisors, whose sum is σ = 7831151677440. Its totient is φ = 480687685632.

The previous prime is 1989167910859. The next prime is 1989167910931. The reversal of 1989167910912 is 2190197619891.

It is a tau number, because it is divible by the number of its divisors (1872).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1989167910912.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15662739393 + ... + 15662739519.

It is an arithmetic number, because the mean of its divisors is an integer number (4183307520).

Almost surely, 2^{1989167910912} is an apocalyptic number.

1989167910912 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 1989167910912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915575838720).

1989167910912 is an abundant number, since it is smaller than the sum of its proper divisors (5841983766528).

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

1989167910912 is a wasteful number, since it uses less digits than its factorization.

1989167910912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 63.

The spelling of 1989167910912 in words is "one trillion, nine hundred eighty-nine billion, one hundred sixty-seven million, nine hundred ten thousand, nine hundred twelve".