211196244480 has 960 divisors, whose sum is σ = 785019755520. Its totient is φ = 48306585600.

The previous prime is 211196244463. The next prime is 211196244491. The reversal of 211196244480 is 84442691112.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1166829990 + ... + 1166830170.

It is an arithmetic number, because the mean of its divisors is an integer number (817728912).

Almost surely, 2^211196244480 is an apocalyptic number.

211196244480 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 211196244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392509877760).

211196244480 is an abundant number, since it is smaller than the sum of its proper divisors (573823511040).

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

211196244480 is a wasteful number, since it uses less digits than its factorization.

211196244480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 211196244480 in words is "two hundred eleven billion, one hundred ninety-six million, two hundred forty-four thousand, four hundred eighty".