166657982400 has 1008 divisors, whose sum is σ = 737743406400. Its totient is φ = 34743582720.

The previous prime is 166657982389. The next prime is 166657982429. The reversal of 166657982400 is 4289756661.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 116624886 + ... + 116626314.

It is an arithmetic number, because the mean of its divisors is an integer number (731888300).

Almost surely, 2^166657982400 is an apocalyptic number.

166657982400 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 166657982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368871703200).

166657982400 is an abundant number, since it is smaller than the sum of its proper divisors (571085424000).

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

166657982400 is a wasteful number, since it uses less digits than its factorization.

166657982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 166657982400 in words is "one hundred sixty-six billion, six hundred fifty-seven million, nine hundred eighty-two thousand, four hundred".