166405809024000 has 2464 divisors, whose sum is σ = 766112201102976. Its totient is φ = 35108005478400.

The previous prime is 166405809023999. The next prime is 166405809024047. The reversal of 166405809024000 is 420908504661.

166405809024000 is a `hidden beast` number, since 1 + 6 + 6 + 40 + 580 + 9 + 0 + 24 + 0 + 0 + 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 polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 8491382202 + ... + 8491401798.

Almost surely, 2^{166405809024000} is an apocalyptic number.

166405809024000 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 166405809024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383056100551488).

166405809024000 is an abundant number, since it is smaller than the sum of its proper divisors (599706392078976).

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

166405809024000 is an equidigital number, since it uses as much as digits as its factorization.

166405809024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19670 (or 19627 counting only the distinct ones).

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

The spelling of 166405809024000 in words is "one hundred sixty-six trillion, four hundred five billion, eight hundred nine million, twenty-four thousand".