212560320640 has 64 divisors (see below), whose sum is σ = 509608575000. Its totient is φ = 84780417024.

The previous prime is 212560320631. The next prime is 212560320683. The reversal of 212560320640 is 46023065212.

It can be written as a sum of positive squares in 4 ways, for example, as 212491497024 + 68823616 = 460968^2 + 8296^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×212560320640² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252465 + ... + 699184.

Almost surely, 2^212560320640 is an apocalyptic number.

212560320640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212560320640 is an abundant number, since it is smaller than the sum of its proper divisors (297048254360).

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

212560320640 is an equidigital number, since it uses as much as digits as its factorization.

212560320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952017 (or 952005 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 212560320640 its reverse (46023065212), we get a palindrome (258583385852).

The spelling of 212560320640 in words is "two hundred twelve billion, five hundred sixty million, three hundred twenty thousand, six hundred forty".