166150595520 has 1680 divisors, whose sum is σ = 768145926240. Its totient is φ = 33749581824.

The previous prime is 166150595519. The next prime is 166150595521. The reversal of 166150595520 is 25595051661.

166150595520 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 5 + 0 + 595 + 52 + 0 = 666.

166150595520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166150595519) and next prime (166150595521).

It is a tau number, because it is divible by the number of its divisors (1680).

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 (166150595521) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 478819987 + ... + 478820333.

It is an arithmetic number, because the mean of its divisors is an integer number (457229718).

Almost surely, 2^166150595520 is an apocalyptic number.

166150595520 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 166150595520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384072963120).

166150595520 is an abundant number, since it is smaller than the sum of its proper divisors (601995330720).

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

166150595520 is a wasteful number, since it uses less digits than its factorization.

166150595520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 45.

The spelling of 166150595520 in words is "one hundred sixty-six billion, one hundred fifty million, five hundred ninety-five thousand, five hundred twenty".