26301379104 has 1152 divisors, whose sum is σ = 108488540160. Its totient is φ = 6046617600.

The previous prime is 26301379087. The next prime is 26301379163. The reversal of 26301379104 is 40197310362.

26301379104 is a `hidden beast` number, since 2 + 630 + 1 + 3 + 7 + 9 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 241297002 + ... + 241297110.

It is an arithmetic number, because the mean of its divisors is an integer number (94174080).

Almost surely, 2^26301379104 is an apocalyptic number.

26301379104 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 26301379104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54244270080).

26301379104 is an abundant number, since it is smaller than the sum of its proper divisors (82187161056).

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

26301379104 is a wasteful number, since it uses less digits than its factorization.

26301379104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 26301379104 its reverse (40197310362), we get a palindrome (66498689466).

The spelling of 26301379104 in words is "twenty-six billion, three hundred one million, three hundred seventy-nine thousand, one hundred four".