210634436012 has 144 divisors (see below), whose sum is σ = 522340100352. Its totient is φ = 71765170560.

The previous prime is 210634435961. The next prime is 210634436039.

210634436012 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 210634436012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1372583 + ... + 1518305.

It is an arithmetic number, because the mean of its divisors is an integer number (3627361808).

Almost surely, 2^210634436012 is an apocalyptic number.

210634436012 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 210634436012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261170050176).

210634436012 is an abundant number, since it is smaller than the sum of its proper divisors (311705664340).

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

210634436012 is a wasteful number, since it uses less digits than its factorization.

210634436012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145796 (or 145775 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 210634 and 436012, that added together give a palindrome (646646).

The spelling of 210634436012 in words is "two hundred ten billion, six hundred thirty-four million, four hundred thirty-six thousand, twelve".