166649280000 has 400 divisors, whose sum is σ = 634057036800. Its totient is φ = 38089728000.

The previous prime is 166649279969. The next prime is 166649280001. The reversal of 166649280000 is 82946661.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166649280001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6707601 + ... + 6732399.

It is an arithmetic number, because the mean of its divisors is an integer number (1585142592).

Almost surely, 2^166649280000 is an apocalyptic number.

166649280000 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 166649280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317028518400).

166649280000 is an abundant number, since it is smaller than the sum of its proper divisors (467407756800).

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

166649280000 is an frugal number, since it uses more digits than its factorization.

166649280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24847 (or 24816 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 166649280000 in words is "one hundred sixty-six billion, six hundred forty-nine million, two hundred eighty thousand".