211516380 has 96 divisors (see below), whose sum is σ = 696790080. Its totient is φ = 53084160.

The previous prime is 211516351. The next prime is 211516381. The reversal of 211516380 is 83615112.

211516380 is a `hidden beast` number, since 21 + 1 + 5 + 1 + 638 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211516381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2341 + ... + 20700.

It is an arithmetic number, because the mean of its divisors is an integer number (7258230).

Almost surely, 2^211516380 is an apocalyptic number.

211516380 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 211516380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348395040).

211516380 is an abundant number, since it is smaller than the sum of its proper divisors (485273700).

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

211516380 is a wasteful number, since it uses less digits than its factorization.

211516380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23076 (or 23068 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 211516380 is about 14543.6027173462. The cubic root of 211516380 is about 595.8194391705.

The spelling of 211516380 in words is "two hundred eleven million, five hundred sixteen thousand, three hundred eighty".