166855987584 has 720 divisors, whose sum is σ = 591772117860. Its totient is φ = 46613698560.

The previous prime is 166855987583. The next prime is 166855987591. The reversal of 166855987584 is 485789558661.

166855987584 is a `hidden beast` number, since 1 + 6 + 68 + 559 + 8 + 7 + 5 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166855987583) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 212014839 + ... + 212015625.

Almost surely, 2^166855987584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166855987584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295886058930).

166855987584 is an abundant number, since it is smaller than the sum of its proper divisors (424916130276).

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

166855987584 is a wasteful number, since it uses less digits than its factorization.

166855987584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 816 counting only the distinct ones).

The product of its digits is 580608000, while the sum is 72.

The spelling of 166855987584 in words is "one hundred sixty-six billion, eight hundred fifty-five million, nine hundred eighty-seven thousand, five hundred eighty-four".