211516135641640 has 32 divisors (see below), whose sum is σ = 475936196371560. Its totient is φ = 84602029158400.

The previous prime is 211516135641631. The next prime is 211516135641647. The reversal of 211516135641640 is 46146531615112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 210484907577604 + 1031228064036 = 14508098^2 + 1015494^2 .

It is a super-2 number, since 2×211516135641640² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211516135641647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137509921 + ... + 139039600.

Almost surely, 2^{211516135641640} is an apocalyptic number.

211516135641640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211516135641640 is an abundant number, since it is smaller than the sum of its proper divisors (264420060729920).

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

211516135641640 is a wasteful number, since it uses less digits than its factorization.

211516135641640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276568653 (or 276568649 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 211516135641640 in words is "two hundred eleven trillion, five hundred sixteen billion, one hundred thirty-five million, six hundred forty-one thousand, six hundred forty".