166005457800 has 768 divisors, whose sum is σ = 671117045760. Its totient is φ = 32985722880.

The previous prime is 166005457789. The next prime is 166005457819. The reversal of 166005457800 is 8754500661.

It is a super-3 number, since 3×166005457800³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84137614 + ... + 84139586.

It is an arithmetic number, because the mean of its divisors is an integer number (873850320).

Almost surely, 2^166005457800 is an apocalyptic number.

166005457800 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 166005457800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335558522880).

166005457800 is an abundant number, since it is smaller than the sum of its proper divisors (505111587960).

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

166005457800 is a wasteful number, since it uses less digits than its factorization.

166005457800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 166005457800 in words is "one hundred sixty-six billion, five million, four hundred fifty-seven thousand, eight hundred".