166847487120 has 200 divisors, whose sum is σ = 579989612664. Its totient is φ = 44454002688.

The previous prime is 166847487113. The next prime is 166847487143. The reversal of 166847487120 is 21784748661.

166847487120 is a `hidden beast` number, since 1 + 66 + 84 + 7 + 487 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 862949376 + 165984537744 = 29376^2 + 407412^2 .

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 7875582 + ... + 7896738.

Almost surely, 2^166847487120 is an apocalyptic number.

166847487120 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 166847487120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289994806332).

166847487120 is an abundant number, since it is smaller than the sum of its proper divisors (413142125544).

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

166847487120 is a wasteful number, since it uses less digits than its factorization.

166847487120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22399 (or 22384 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 166847487120 in words is "one hundred sixty-six billion, eight hundred forty-seven million, four hundred eighty-seven thousand, one hundred twenty".