166389872270400 has 504 divisors, whose sum is σ = 593154542822400. Its totient is φ = 44238249185280.

The previous prime is 166389872270357. The next prime is 166389872270407. The reversal of 166389872270400 is 4072278983661.

166389872270400 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 8 + 98 + 72 + 2 + 70 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (166389872270407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24117966151 + ... + 24117973049.

Almost surely, 2^{166389872270400} is an apocalyptic number.

166389872270400 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 166389872270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296577271411200).

166389872270400 is an abundant number, since it is smaller than the sum of its proper divisors (426764670552000).

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

166389872270400 is a wasteful number, since it uses less digits than its factorization.

166389872270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11683 (or 11665 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 166389872270400 in words is "one hundred sixty-six trillion, three hundred eighty-nine billion, eight hundred seventy-two million, two hundred seventy thousand, four hundred".