166359205286400 has 480 divisors, whose sum is σ = 636911478770688. Its totient is φ = 37489394073600.

The previous prime is 166359205286363. The next prime is 166359205286423. The reversal of 166359205286400 is 4682502953661.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14726379 + ... + 23443221.

Almost surely, 2^{166359205286400} is an apocalyptic number.

166359205286400 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 166359205286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318455739385344).

166359205286400 is an abundant number, since it is smaller than the sum of its proper divisors (470552273484288).

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

166359205286400 is an equidigital number, since it uses as much as digits as its factorization.

166359205286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8716952 (or 8716931 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 166359205286400 in words is "one hundred sixty-six trillion, three hundred fifty-nine billion, two hundred five million, two hundred eighty-six thousand, four hundred".