211540345151120 has 80 divisors (see below), whose sum is σ = 491964328874880. Its totient is φ = 84593255350272.

The previous prime is 211540345151117. The next prime is 211540345151123. The reversal of 211540345151120 is 21151543045112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211540345151117) and next prime (211540345151123).

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

It is not an unprimeable number, because it can be changed into a prime (211540345151123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5446576661 + ... + 5446615499.

It is an arithmetic number, because the mean of its divisors is an integer number (6149554110936).

Almost surely, 2^{211540345151120} is an apocalyptic number.

211540345151120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211540345151120 is an abundant number, since it is smaller than the sum of its proper divisors (280423983723760).

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

211540345151120 is a wasteful number, since it uses less digits than its factorization.

211540345151120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55512 (or 55506 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

Adding to 211540345151120 its reverse (21151543045112), we get a palindrome (232691888196232).

The spelling of 211540345151120 in words is "two hundred eleven trillion, five hundred forty billion, three hundred forty-five million, one hundred fifty-one thousand, one hundred twenty".