167666982912000 has 6528 divisors, whose sum is σ = 800242938593280. Its totient is φ = 34398535680000.

The previous prime is 167666982911801. The next prime is 167666982912067. The reversal of 167666982912000 is 219289666761.

It is a super-2 number, since 2×167666982912000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5408612351985 + ... + 5408612352015.

Almost surely, 2^{167666982912000} is an apocalyptic number.

167666982912000 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 167666982912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400121469296640).

167666982912000 is an abundant number, since it is smaller than the sum of its proper divisors (632575955681280).

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

167666982912000 is an equidigital number, since it uses as much as digits as its factorization.

167666982912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 167666982912000 in words is "one hundred sixty-seven trillion, six hundred sixty-six billion, nine hundred eighty-two million, nine hundred twelve thousand".