26105369472 has 768 divisors, whose sum is σ = 100299064320. Its totient is φ = 6569164800.

The previous prime is 26105369453. The next prime is 26105369509. The reversal of 26105369472 is 27496350162.

26105369472 is a `hidden beast` number, since 26 + 1 + 0 + 536 + 94 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65100472 + ... + 65100872.

It is an arithmetic number, because the mean of its divisors is an integer number (130597740).

Almost surely, 2^26105369472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26105369472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50149532160).

26105369472 is an abundant number, since it is smaller than the sum of its proper divisors (74193694848).

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

26105369472 is a wasteful number, since it uses less digits than its factorization.

26105369472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 26105369472 in words is "twenty-six billion, one hundred five million, three hundred sixty-nine thousand, four hundred seventy-two".