212605038264960 has 2048 divisors, whose sum is σ = 851224685875200. Its totient is φ = 49710735360000.

The previous prime is 212605038264919. The next prime is 212605038264977. The reversal of 212605038264960 is 69462830506212.

212605038264960 is a `hidden beast` number, since 2 + 1 + 2 + 605 + 0 + 3 + 8 + 26 + 4 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 212605038264897 and 212605038264906.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 209876641414 + ... + 209876642426.

It is an arithmetic number, because the mean of its divisors is an integer number (415637053650).

Almost surely, 2^{212605038264960} is an apocalyptic number.

212605038264960 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 212605038264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425612342937600).

212605038264960 is an abundant number, since it is smaller than the sum of its proper divisors (638619647610240).

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

212605038264960 is a wasteful number, since it uses less digits than its factorization.

212605038264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 212605038264960 in words is "two hundred twelve trillion, six hundred five billion, thirty-eight million, two hundred sixty-four thousand, nine hundred sixty".