166295404800 has 1296 divisors, whose sum is σ = 712178917632. Its totient is φ = 36229939200.

The previous prime is 166295404733. The next prime is 166295404819. The reversal of 166295404800 is 8404592661.

166295404800 is a `hidden beast` number, since 1 + 6 + 6 + 29 + 540 + 4 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 1059206322 + ... + 1059206478.

Almost surely, 2^166295404800 is an apocalyptic number.

166295404800 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 166295404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356089458816).

166295404800 is an abundant number, since it is smaller than the sum of its proper divisors (545883512832).

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

166295404800 is a wasteful number, since it uses less digits than its factorization.

166295404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 166295404800 in words is "one hundred sixty-six billion, two hundred ninety-five million, four hundred four thousand, eight hundred".