166000076161920 has 3072 divisors, whose sum is σ = 806443399157760. Its totient is φ = 31509058682880.

The previous prime is 166000076161897. The next prime is 166000076161921. The reversal of 166000076161920 is 29161670000661.

166000076161920 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 0 + 0 + 0 + 7 + 6 + 1 + 619 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166000076161921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15100519944 + ... + 15100530936.

It is an arithmetic number, because the mean of its divisors is an integer number (262514127330).

Almost surely, 2^{166000076161920} is an apocalyptic number.

166000076161920 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 166000076161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403221699578880).

166000076161920 is an abundant number, since it is smaller than the sum of its proper divisors (640443322995840).

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

166000076161920 is a wasteful number, since it uses less digits than its factorization.

166000076161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11155 (or 11131 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 166000076161920 in words is "one hundred sixty-six trillion, seventy-six million, one hundred sixty-one thousand, nine hundred twenty".