211454541520 has 80 divisors (see below), whose sum is σ = 500220037440. Its totient is φ = 83105740800.

The previous prime is 211454541517. The next prime is 211454541547. The reversal of 211454541520 is 25145454112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10189555 + ... + 10210285.

It is an arithmetic number, because the mean of its divisors is an integer number (6252750468).

Almost surely, 2^211454541520 is an apocalyptic number.

211454541520 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 211454541520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250110018720).

211454541520 is an abundant number, since it is smaller than the sum of its proper divisors (288765495920).

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

211454541520 is a wasteful number, since it uses less digits than its factorization.

211454541520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22964 (or 22958 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 34.

Adding to 211454541520 its reverse (25145454112), we get a palindrome (236599995632).

The spelling of 211454541520 in words is "two hundred eleven billion, four hundred fifty-four million, five hundred forty-one thousand, five hundred twenty".