1667027522160 has 5760 divisors, whose sum is σ = 9096617779200. Its totient is φ = 275904921600.

The previous prime is 1667027522159. The next prime is 1667027522203. The reversal of 1667027522160 is 612257207661.

1667027522160 is a `hidden beast` number, since 1 + 6 + 67 + 0 + 2 + 7 + 522 + 1 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 53775081345 + ... + 53775081375.

It is an arithmetic number, because the mean of its divisors is an integer number (1579273920).

Almost surely, 2^{1667027522160} is an apocalyptic number.

1667027522160 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 1667027522160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548308889600).

1667027522160 is an abundant number, since it is smaller than the sum of its proper divisors (7429590257040).

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

1667027522160 is a wasteful number, since it uses less digits than its factorization.

1667027522160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1667027522160 in words is "one trillion, six hundred sixty-seven billion, twenty-seven million, five hundred twenty-two thousand, one hundred sixty".