211052160 has 192 divisors, whose sum is σ = 795281760. Its totient is φ = 51148800.

The previous prime is 211052147. The next prime is 211052167. The reversal of 211052160 is 61250112.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211052167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61695 + ... + 65025.

Almost surely, 2^211052160 is an apocalyptic number.

211052160 is a gapful number since it is divisible by the number (20) 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 211052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397640880).

211052160 is an abundant number, since it is smaller than the sum of its proper divisors (584229600).

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

211052160 is a wasteful number, since it uses less digits than its factorization.

211052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 211052160 is about 14527.6343566322. The cubic root of 211052160 is about 595.3832335611.

The spelling of 211052160 in words is "two hundred eleven million, fifty-two thousand, one hundred sixty".