26181279786144 has 48 divisors (see below), whose sum is σ = 78543839360448. Its totient is φ = 7480365652992.

The previous prime is 26181279786121. The next prime is 26181279786149. The reversal of 26181279786144 is 44168797218162.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×26181279786144² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26181279786149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19480118217 + ... + 19480119560.

It is an arithmetic number, because the mean of its divisors is an integer number (1636329986676).

Almost surely, 2^{26181279786144} is an apocalyptic number.

26181279786144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26181279786144 is an abundant number, since it is smaller than the sum of its proper divisors (52362559574304).

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

26181279786144 is a wasteful number, since it uses less digits than its factorization.

26181279786144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38960237797 (or 38960237789 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 66.

The spelling of 26181279786144 in words is "twenty-six trillion, one hundred eighty-one billion, two hundred seventy-nine million, seven hundred eighty-six thousand, one hundred forty-four".