210516615012 has 96 divisors (see below), whose sum is σ = 549638006400. Its totient is φ = 62168903680.

The previous prime is 210516614977. The next prime is 210516615013.

210516615012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×210516615012² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (210516615013) 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 31 ways as a sum of consecutive naturals, for example, 941428 + ... + 1143380.

It is an arithmetic number, because the mean of its divisors is an integer number (5725395900).

Almost surely, 2^210516615012 is an apocalyptic number.

210516615012 is a gapful number since it is divisible by the number (22) 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 210516615012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274819003200).

210516615012 is an abundant number, since it is smaller than the sum of its proper divisors (339121391388).

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

210516615012 is a wasteful number, since it uses less digits than its factorization.

210516615012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202173 (or 202171 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

It can be divided in two parts, 210516 and 615012, that added together give a palindrome (825528).

The spelling of 210516615012 in words is "two hundred ten billion, five hundred sixteen million, six hundred fifteen thousand, twelve".