261126621162 has 48 divisors (see below), whose sum is σ = 617284100160. Its totient is φ = 79119571200.

The previous prime is 261126621157. The next prime is 261126621187.

261126621162 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 26 + 621 + 1 + 6 + 2 = 666.

261126621162 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×261126621162² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1627987 + ... + 1781177.

It is an arithmetic number, because the mean of its divisors is an integer number (12860085420).

Almost surely, 2^261126621162 is an apocalyptic number.

261126621162 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

261126621162 is an abundant number, since it is smaller than the sum of its proper divisors (356157478998).

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

261126621162 is a wasteful number, since it uses less digits than its factorization.

261126621162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161819 (or 161816 counting only the distinct ones).

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

It can be divided in two parts, 261126 and 621162, that added together give a palindrome (882288).

The spelling of 261126621162 in words is "two hundred sixty-one billion, one hundred twenty-six million, six hundred twenty-one thousand, one hundred sixty-two".