6261120211626 has 96 divisors (see below), whose sum is σ = 15873456044160. Its totient is φ = 1746278497152.

The previous prime is 6261120211603. The next prime is 6261120211649.

6261120211626 is a `hidden beast` number, since 6 + 2 + 6 + 1 + 1 + 2 + 0 + 21 + 1 + 626 = 666.

6261120211626 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6261120211603) and next prime (6261120211649).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9055980 + ... + 9722808.

It is an arithmetic number, because the mean of its divisors is an integer number (165348500460).

Almost surely, 2^{6261120211626} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6261120211626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936728022080).

6261120211626 is an abundant number, since it is smaller than the sum of its proper divisors (9612335832534).

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

6261120211626 is a wasteful number, since it uses less digits than its factorization.

6261120211626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668620 (or 668617 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

It can be divided in two parts, 6261120 and 211626, that added together give a palindrome (6472746).

The spelling of 6261120211626 in words is "six trillion, two hundred sixty-one billion, one hundred twenty million, two hundred eleven thousand, six hundred twenty-six".