166540983298560 has 960 divisors, whose sum is σ = 629868965806080. Its totient is φ = 40420420485120.

The previous prime is 166540983298537. The next prime is 166540983298577. The reversal of 166540983298560 is 65892389045661.

It is a happy number.

166540983298560 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 409 + 83 + 2 + 9 + 85 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18858673345 + ... + 18858682175.

It is an arithmetic number, because the mean of its divisors is an integer number (656113506048).

Almost surely, 2^{166540983298560} is an apocalyptic number.

166540983298560 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 166540983298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314934482903040).

166540983298560 is an abundant number, since it is smaller than the sum of its proper divisors (463327982507520).

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

166540983298560 is a wasteful number, since it uses less digits than its factorization.

166540983298560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9749 (or 9730 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 166540983298560 in words is "one hundred sixty-six trillion, five hundred forty billion, nine hundred eighty-three million, two hundred ninety-eight thousand, five hundred sixty".