212749605288 has 384 divisors, whose sum is σ = 680651786880. Its totient is φ = 59309752320.

The previous prime is 212749605259. The next prime is 212749605317. The reversal of 212749605288 is 882506947212.

212749605288 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 4 + 9 + 605 + 28 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (212749605259) and next prime (212749605317).

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, 316120920 + ... + 316121592.

It is an arithmetic number, because the mean of its divisors is an integer number (1772530695).

Almost surely, 2^212749605288 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 212749605288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340325893440).

212749605288 is an abundant number, since it is smaller than the sum of its proper divisors (467902181592).

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

212749605288 is a wasteful number, since it uses less digits than its factorization.

212749605288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 212749605288 in words is "two hundred twelve billion, seven hundred forty-nine million, six hundred five thousand, two hundred eighty-eight".