166888590400 has 189 divisors, whose sum is σ = 478022811669. Its totient is φ = 57179727360.

The previous prime is 166888590377. The next prime is 166888590413. The reversal of 166888590400 is 4095888661.

The square root of 166888590400 is 408520.

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

It can be written as a sum of positive squares in only one way, i.e., 60079892544 + 106808697856 = 245112^2 + 326816^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 114384871 + ... + 114386329.

Almost surely, 2^166888590400 is an apocalyptic number.

166888590400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166888590400 is the 408520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166888590400

166888590400 is an abundant number, since it is smaller than the sum of its proper divisors (311134221269).

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

166888590400 is an frugal number, since it uses more digits than its factorization.

166888590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 55.

The spelling of 166888590400 in words is "one hundred sixty-six billion, eight hundred eighty-eight million, five hundred ninety thousand, four hundred".