212681064960 has 2160 divisors, whose sum is σ = 1004171103936. Its totient is φ = 42233757696.

The previous prime is 212681064917. The next prime is 212681064961. The reversal of 212681064960 is 69460186212.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212681064961) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12510650872 + ... + 12510650888.

Almost surely, 2^212681064960 is an apocalyptic number.

212681064960 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 212681064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502085551968).

212681064960 is an abundant number, since it is smaller than the sum of its proper divisors (791490038976).

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

212681064960 is an equidigital number, since it uses as much as digits as its factorization.

212681064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 212681064960 in words is "two hundred twelve billion, six hundred eighty-one million, sixty-four thousand, nine hundred sixty".