166284528400 has 45 divisors (see below), whose sum is σ = 399518174271. Its totient is φ = 66510549120.

The previous prime is 166284528367. The next prime is 166284528409. The reversal of 166284528400 is 4825482661.

The square root of 166284528400 is 407780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 29277947664 + 137006580736 = 171108^2 + 370144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166284528409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8145406 + ... + 8165794.

Almost surely, 2^166284528400 is an apocalyptic number.

166284528400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166284528400 is the 407780-th square number.

It is an amenable number.

166284528400 is an abundant number, since it is smaller than the sum of its proper divisors (233233645871).

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

166284528400 is an frugal number, since it uses more digits than its factorization.

166284528400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40796 (or 20396 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 166284528400 in words is "one hundred sixty-six billion, two hundred eighty-four million, five hundred twenty-eight thousand, four hundred".