166869833400 has 480 divisors, whose sum is σ = 595495256400. Its totient is φ = 43284326400.

The previous prime is 166869833387. The next prime is 166869833407. The reversal of 166869833400 is 4338968661.

166869833400 is a `hidden beast` number, since 166 + 8 + 69 + 83 + 340 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166869833407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 293268316 + ... + 293268884.

Almost surely, 2^166869833400 is an apocalyptic number.

166869833400 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 166869833400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297747628200).

166869833400 is an abundant number, since it is smaller than the sum of its proper divisors (428625423000).

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

166869833400 is a wasteful number, since it uses less digits than its factorization.

166869833400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 166869833400 in words is "one hundred sixty-six billion, eight hundred sixty-nine million, eight hundred thirty-three thousand, four hundred".