166601004900 has 144 divisors (see below), whose sum is σ = 531060884928. Its totient is φ = 39988160000.

The previous prime is 166601004847. The next prime is 166601004937. The reversal of 166601004900 is 9400106661.

166601004900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 83374 + ... + 583226.

It is an arithmetic number, because the mean of its divisors is an integer number (3687922812).

Almost surely, 2^166601004900 is an apocalyptic number.

166601004900 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 166601004900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265530442464).

166601004900 is an abundant number, since it is smaller than the sum of its proper divisors (364459880028).

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

166601004900 is a wasteful number, since it uses less digits than its factorization.

166601004900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499982 (or 499975 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 166601004900 in words is "one hundred sixty-six billion, six hundred one million, four thousand, nine hundred".