166158058752 has 576 divisors, whose sum is σ = 620507381760. Its totient is φ = 42733633536.

The previous prime is 166158058751. The next prime is 166158058841. The reversal of 166158058752 is 257850851661.

166158058752 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 5 + 8 + 0 + 587 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166158058751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18913753 + ... + 18922535.

It is an arithmetic number, because the mean of its divisors is an integer number (1077269760).

Almost surely, 2^166158058752 is an apocalyptic number.

166158058752 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 166158058752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310253690880).

166158058752 is an abundant number, since it is smaller than the sum of its proper divisors (454349323008).

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

166158058752 is a wasteful number, since it uses less digits than its factorization.

166158058752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8855 (or 8835 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 166158058752 in words is "one hundred sixty-six billion, one hundred fifty-eight million, fifty-eight thousand, seven hundred fifty-two".