166256058150 has 1152 divisors, whose sum is σ = 612520796160. Its totient is φ = 31352832000.

The previous prime is 166256058139. The next prime is 166256058197. The reversal of 166256058150 is 51850652661.

166256058150 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 5 + 60 + 581 + 5 + 0 = 666.

166256058150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 166256058096 and 166256058105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1471292494 + ... + 1471292606.

It is an arithmetic number, because the mean of its divisors is an integer number (531702080).

Almost surely, 2^166256058150 is an apocalyptic number.

166256058150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166256058150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306260398080).

166256058150 is an abundant number, since it is smaller than the sum of its proper divisors (446264738010).

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

166256058150 is a wasteful number, since it uses less digits than its factorization.

166256058150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 166256058150 in words is "one hundred sixty-six billion, two hundred fifty-six million, fifty-eight thousand, one hundred fifty".