26319126113280 has 3168 divisors, whose sum is σ = 129288994248960. Its totient is φ = 5046551838720.

The previous prime is 26319126113261. The next prime is 26319126113281. The reversal of 26319126113280 is 8231162191362.

26319126113280 is a `hidden beast` number, since 2 + 6 + 3 + 1 + 9 + 1 + 2 + 611 + 3 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (26319126113281) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 8717827611 + ... + 8717830629.

Almost surely, 2^{26319126113280} is an apocalyptic number.

26319126113280 is a gapful number since it is divisible by the number (20) 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 26319126113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64644497124480).

26319126113280 is an abundant number, since it is smaller than the sum of its proper divisors (102969868135680).

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

26319126113280 is a wasteful number, since it uses less digits than its factorization.

26319126113280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 26319126113280 in words is "twenty-six trillion, three hundred nineteen billion, one hundred twenty-six million, one hundred thirteen thousand, two hundred eighty".