26332416131382 has 144 divisors (see below), whose sum is σ = 59934565548000. Its totient is φ = 8345578832640.

The previous prime is 26332416131339. The next prime is 26332416131383. The reversal of 26332416131382 is 28313161423362.

It is a happy number.

26332416131382 is a `hidden beast` number, since 2 + 6 + 3 + 3 + 24 + 1 + 613 + 1 + 3 + 8 + 2 = 666.

It is a super-2 number, since 2×26332416131382² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26332416131383) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2418252994 + ... + 2418263882.

It is an arithmetic number, because the mean of its divisors is an integer number (416212260750).

Almost surely, 2^{26332416131382} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26332416131382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29967282774000).

26332416131382 is an abundant number, since it is smaller than the sum of its proper divisors (33602149416618).

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

26332416131382 is a wasteful number, since it uses less digits than its factorization.

26332416131382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11987 (or 11913 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 26332416131382 in words is "twenty-six trillion, three hundred thirty-two billion, four hundred sixteen million, one hundred thirty-one thousand, three hundred eighty-two".