212516424288 has 288 divisors, whose sum is σ = 709925186880. Its totient is φ = 59049492480.

The previous prime is 212516424283. The next prime is 212516424317. The reversal of 212516424288 is 882424615212.

It is a happy number.

212516424288 is a `hidden beast` number, since 2 + 12 + 516 + 4 + 2 + 42 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212516424283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10935156 + ... + 10954572.

It is an arithmetic number, because the mean of its divisors is an integer number (2465018010).

Almost surely, 2^212516424288 is an apocalyptic number.

212516424288 is a gapful number since it is divisible by the number (28) 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 212516424288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354962593440).

212516424288 is an abundant number, since it is smaller than the sum of its proper divisors (497408762592).

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

212516424288 is a wasteful number, since it uses less digits than its factorization.

212516424288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19590 (or 19579 counting only the distinct ones).

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

It can be divided in two parts, 212516 and 424288, that added together give a square (636804 = 798²).

The spelling of 212516424288 in words is "two hundred twelve billion, five hundred sixteen million, four hundred twenty-four thousand, two hundred eighty-eight".