26791444419762 has 64 divisors (see below), whose sum is σ = 60049405874304. Its totient is φ = 7897157130240.

The previous prime is 26791444419749. The next prime is 26791444419823.

26791444419762 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×26791444419762² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 26791444419693 and 26791444419702.

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 31 ways as a sum of consecutive naturals, for example, 8052738 + ... + 10882530.

It is an arithmetic number, because the mean of its divisors is an integer number (938271966786).

Almost surely, 2^{26791444419762} is an apocalyptic number.

26791444419762 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26791444419762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30024702937152).

26791444419762 is an abundant number, since it is smaller than the sum of its proper divisors (33257961454542).

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

26791444419762 is a wasteful number, since it uses less digits than its factorization.

26791444419762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833723.

The product of its digits is 146313216, while the sum is 66.

The spelling of 26791444419762 in words is "twenty-six trillion, seven hundred ninety-one billion, four hundred forty-four million, four hundred nineteen thousand, seven hundred sixty-two".