166529286400 has 81 divisors (see below), whose sum is σ = 412266824823. Its totient is φ = 66598656000.

The previous prime is 166529286367. The next prime is 166529286401. The reversal of 166529286400 is 4682925661.

The square root of 166529286400 is 408080.

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 103395688704 + 63133597696 = 321552^2 + 251264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166529286401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32643850 + ... + 32648950.

Almost surely, 2^166529286400 is an apocalyptic number.

166529286400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166529286400 is the 408080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166529286400

166529286400 is an abundant number, since it is smaller than the sum of its proper divisors (245737538423).

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

166529286400 is an frugal number, since it uses more digits than its factorization.

166529286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10228 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 166529286400 by its sum of digits (49), we get a square (8159935033600 = 2856560²).

It can be divided in two parts, 166529 and 286400, that added together give a square (452929 = 673²).

The spelling of 166529286400 in words is "one hundred sixty-six billion, five hundred twenty-nine million, two hundred eighty-six thousand, four hundred".