211448482560 has 576 divisors, whose sum is σ = 859578854400. Its totient is φ = 48216342528.

The previous prime is 211448482541. The next prime is 211448482571. The reversal of 211448482560 is 65284844112.

211448482560 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 4 + 8 + 4 + 82 + 560 = 666.

211448482560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142006296 + ... + 142007784.

It is an arithmetic number, because the mean of its divisors is an integer number (1492324400).

Almost surely, 2^211448482560 is an apocalyptic number.

211448482560 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 211448482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429789427200).

211448482560 is an abundant number, since it is smaller than the sum of its proper divisors (648130371840).

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

211448482560 is a wasteful number, since it uses less digits than its factorization.

211448482560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 211448482560 in words is "two hundred eleven billion, four hundred forty-eight million, four hundred eighty-two thousand, five hundred sixty".