166398154560 has 252 divisors, whose sum is σ = 629102660004. Its totient is φ = 40338862080.

The previous prime is 166398154553. The next prime is 166398154603. The reversal of 166398154560 is 65451893661.

166398154560 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 98 + 1 + 545 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 132344619264 + 34053535296 = 363792^2 + 184536^2 .

It is a junction number, because it is equal to n+sod(n) for n = 166398154497 and 166398154506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109732 + ... + 587228.

It is an arithmetic number, because the mean of its divisors is an integer number (2496439127).

Almost surely, 2^166398154560 is an apocalyptic number.

166398154560 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 166398154560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314551330002).

166398154560 is an abundant number, since it is smaller than the sum of its proper divisors (462704505444).

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

166398154560 is a wasteful number, since it uses less digits than its factorization.

166398154560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477542 (or 477518 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 166398154560 in words is "one hundred sixty-six billion, three hundred ninety-eight million, one hundred fifty-four thousand, five hundred sixty".