211154640512 has 128 divisors (see below), whose sum is σ = 453720839040. Its totient is φ = 97623871488.

The previous prime is 211154640497. The next prime is 211154640523. The reversal of 211154640512 is 215046451112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 17095523 + ... + 17107869.

It is an arithmetic number, because the mean of its divisors is an integer number (3544694055).

Almost surely, 2^211154640512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211154640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226860419520).

211154640512 is an abundant number, since it is smaller than the sum of its proper divisors (242566198528).

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

211154640512 is a wasteful number, since it uses less digits than its factorization.

211154640512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12578 (or 12566 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The spelling of 211154640512 in words is "two hundred eleven billion, one hundred fifty-four million, six hundred forty thousand, five hundred twelve".