212719828608 has 288 divisors, whose sum is σ = 714760078500. Its totient is φ = 60546834432.

The previous prime is 212719828589. The next prime is 212719828627. The reversal of 212719828608 is 806828917212.

212719828608 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 1 + 9 + 8 + 28 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (212719828589) and next prime (212719828627).

It can be written as a sum of positive squares in 2 ways, for example, as 210196574784 + 2523253824 = 458472^2 + 50232^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15177508 + ... + 15191516.

Almost surely, 2^212719828608 is an apocalyptic number.

212719828608 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 212719828608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357380039250).

212719828608 is an abundant number, since it is smaller than the sum of its proper divisors (502040249892).

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

212719828608 is a wasteful number, since it uses less digits than its factorization.

212719828608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14312 (or 14290 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 212719828608 in words is "two hundred twelve billion, seven hundred nineteen million, eight hundred twenty-eight thousand, six hundred eight".