166409388600 has 192 divisors, whose sum is σ = 634916029440. Its totient is φ = 35110540800.

The previous prime is 166409388577. The next prime is 166409388659. The reversal of 166409388600 is 6883904661.

166409388600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×166409388600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1469296 + ... + 1578495.

It is an arithmetic number, because the mean of its divisors is an integer number (3306854320).

Almost surely, 2^166409388600 is an apocalyptic number.

166409388600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166409388600 is an abundant number, since it is smaller than the sum of its proper divisors (468506640840).

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

166409388600 is a wasteful number, since it uses less digits than its factorization.

166409388600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047830 (or 3047821 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 166409388600 in words is "one hundred sixty-six billion, four hundred nine million, three hundred eighty-eight thousand, six hundred".