212529786617664 has 560 divisors, whose sum is σ = 642819952051200. Its totient is φ = 69415946403840.

The previous prime is 212529786617657. The next prime is 212529786617669. The reversal of 212529786617664 is 466716687925212.

212529786617664 is a `hidden beast` number, since 2 + 1 + 2 + 529 + 7 + 86 + 6 + 17 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×212529786617664² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 212529786617592 and 212529786617601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212529786617669) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75822255687 + ... + 75822258489.

It is an arithmetic number, because the mean of its divisors is an integer number (1147892771520).

Almost surely, 2^{212529786617664} is an apocalyptic number.

212529786617664 is a gapful number since it is divisible by the number (24) 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 212529786617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321409976025600).

212529786617664 is an abundant number, since it is smaller than the sum of its proper divisors (430290165433536).

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

212529786617664 is a wasteful number, since it uses less digits than its factorization.

212529786617664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 4121 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 212529786617664 in words is "two hundred twelve trillion, five hundred twenty-nine billion, seven hundred eighty-six million, six hundred seventeen thousand, six hundred sixty-four".