26312133121362 has 24 divisors (see below), whose sum is σ = 62192314650960. Its totient is φ = 7973373673080.

The previous prime is 26312133121357. The next prime is 26312133121423.

26312133121362 is a `hidden beast` number, since 2 + 6 + 31 + 21 + 331 + 213 + 62 = 666.

26312133121362 is nontrivially palindromic in base 10.

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

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 11 ways as a sum of consecutive naturals, for example, 66444780412 + ... + 66444780807.

It is an arithmetic number, because the mean of its divisors is an integer number (2591346443790).

Almost surely, 2^{26312133121362} is an apocalyptic number.

26312133121362 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

26312133121362 is an abundant number, since it is smaller than the sum of its proper divisors (35880181529598).

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

26312133121362 is a wasteful number, since it uses less digits than its factorization.

26312133121362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132889561238 (or 132889561235 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

It can be divided in two parts, 2631213 and 3121362, that added together give a palindrome (5752575).

The spelling of 26312133121362 in words is "twenty-six trillion, three hundred twelve billion, one hundred thirty-three million, one hundred twenty-one thousand, three hundred sixty-two".