166838215680 has 528 divisors, whose sum is σ = 629594971200. Its totient is φ = 40689008640.

The previous prime is 166838215597. The next prime is 166838215697. The reversal of 166838215680 is 86512838661.

166838215680 is a `hidden beast` number, since 16 + 68 + 3 + 8 + 2 + 1 + 568 + 0 = 666.

It is a super-2 number, since 2×166838215680² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25386795 + ... + 25393365.

Almost surely, 2^166838215680 is an apocalyptic number.

166838215680 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 166838215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314797485600).

166838215680 is an abundant number, since it is smaller than the sum of its proper divisors (462756755520).

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

166838215680 is a wasteful number, since it uses less digits than its factorization.

166838215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6650 (or 6629 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 166838215680 in words is "one hundred sixty-six billion, eight hundred thirty-eight million, two hundred fifteen thousand, six hundred eighty".