166007800350 has 768 divisors, whose sum is σ = 584534016000. Its totient is φ = 33769612800.

The previous prime is 166007800349. The next prime is 166007800391. The reversal of 166007800350 is 53008700661.

166007800350 is a `hidden beast` number, since 16 + 600 + 7 + 8 + 0 + 0 + 35 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 251908321 + ... + 251908979.

It is an arithmetic number, because the mean of its divisors is an integer number (761112000).

Almost surely, 2^166007800350 is an apocalyptic number.

166007800350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166007800350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292267008000).

166007800350 is an abundant number, since it is smaller than the sum of its proper divisors (418526215650).

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

166007800350 is a wasteful number, since it uses less digits than its factorization.

166007800350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 166007800350 in words is "one hundred sixty-six billion, seven million, eight hundred thousand, three hundred fifty".