212819592960 has 432 divisors, whose sum is σ = 818572355328. Its totient is φ = 50695372800.

The previous prime is 212819592943. The next prime is 212819592961. The reversal of 212819592960 is 69295918212.

212819592960 is a `hidden beast` number, since 21 + 28 + 1 + 9 + 592 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 212819592897 and 212819592906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212819592961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4619640 + ... + 4665480.

Almost surely, 2^212819592960 is an apocalyptic number.

212819592960 is a gapful number since it is divisible by the number (20) 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 212819592960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409286177664).

212819592960 is an abundant number, since it is smaller than the sum of its proper divisors (605752762368).

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

212819592960 is a wasteful number, since it uses less digits than its factorization.

212819592960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45912 (or 45895 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 212819592960 in words is "two hundred twelve billion, eight hundred nineteen million, five hundred ninety-two thousand, nine hundred sixty".