166211922240 has 1344 divisors, whose sum is σ = 741091792896. Its totient is φ = 34523947008.

The previous prime is 166211922193. The next prime is 166211922277. The reversal of 166211922240 is 42229112661.

It is a happy number.

166211922240 is a `hidden beast` number, since 1 + 6 + 621 + 1 + 9 + 2 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 166211922195 and 166211922204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 587321139 + ... + 587321421.

It is an arithmetic number, because the mean of its divisors is an integer number (551407584).

Almost surely, 2^166211922240 is an apocalyptic number.

166211922240 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 166211922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370545896448).

166211922240 is an abundant number, since it is smaller than the sum of its proper divisors (574879870656).

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

166211922240 is a wasteful number, since it uses less digits than its factorization.

166211922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 166211922240 in words is "one hundred sixty-six billion, two hundred eleven million, nine hundred twenty-two thousand, two hundred forty".