26284855104 has 336 divisors, whose sum is σ = 80481098880. Its totient is φ = 8502589440.

The previous prime is 26284855097. The next prime is 26284855111. The reversal of 26284855104 is 40155848262.

26284855104 is a `hidden beast` number, since 2 + 62 + 8 + 485 + 5 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (26284855097) and next prime (26284855111).

It is a self number, because there is not a number n which added to its sum of digits gives 26284855104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97713082 + ... + 97713350.

It is an arithmetic number, because the mean of its divisors is an integer number (239527080).

Almost surely, 2^26284855104 is an apocalyptic number.

26284855104 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 26284855104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40240549440).

26284855104 is an abundant number, since it is smaller than the sum of its proper divisors (54196243776).

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

26284855104 is a wasteful number, since it uses less digits than its factorization.

26284855104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 26284855104 in words is "twenty-six billion, two hundred eighty-four million, eight hundred fifty-five thousand, one hundred four".