26829615456 has 288 divisors, whose sum is σ = 92021529600. Its totient is φ = 7243499520.

The previous prime is 26829615443. The next prime is 26829615473. The reversal of 26829615456 is 65451692862.

26829615456 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 96 + 1 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 21794361 + ... + 21795591.

It is an arithmetic number, because the mean of its divisors is an integer number (319519200).

Almost surely, 2^26829615456 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 26829615456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46010764800).

26829615456 is an abundant number, since it is smaller than the sum of its proper divisors (65191914144).

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

26829615456 is a wasteful number, since it uses less digits than its factorization.

26829615456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1831 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 26829615456 in words is "twenty-six billion, eight hundred twenty-nine million, six hundred fifteen thousand, four hundred fifty-six".