166053888 has 480 divisors, whose sum is σ = 665945280. Its totient is φ = 39813120.

The previous prime is 166053871. The next prime is 166053889. The reversal of 166053888 is 888350661.

166053888 is a `hidden beast` number, since 1 + 6 + 605 + 38 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (166053889) 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, 12773370 + ... + 12773382.

It is an arithmetic number, because the mean of its divisors is an integer number (1387386).

Almost surely, 2^166053888 is an apocalyptic number.

166053888 is a gapful number since it is divisible by the number (18) 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 166053888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332972640).

166053888 is an abundant number, since it is smaller than the sum of its proper divisors (499891392).

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

166053888 is a wasteful number, since it uses less digits than its factorization.

166053888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 166053888 is about 12886.1898170095. The cubic root of 166053888 is about 549.6459296869.

The spelling of 166053888 in words is "one hundred sixty-six million, fifty-three thousand, eight hundred eighty-eight".