26431155679104 has 192 divisors, whose sum is σ = 83319980140800. Its totient is φ = 7975927895040.

The previous prime is 26431155679057. The next prime is 26431155679111. The reversal of 26431155679104 is 40197655113462.

26431155679104 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 1 + 1 + 556 + 79 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 1334974 + ... + 7392189.

It is an arithmetic number, because the mean of its divisors is an integer number (433958229900).

Almost surely, 2^{26431155679104} is an apocalyptic number.

26431155679104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26431155679104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41659990070400).

26431155679104 is an abundant number, since it is smaller than the sum of its proper divisors (56888824461696).

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

26431155679104 is a wasteful number, since it uses less digits than its factorization.

26431155679104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8727433 (or 8727418 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 26431155679104 in words is "twenty-six trillion, four hundred thirty-one billion, one hundred fifty-five million, six hundred seventy-nine thousand, one hundred four".