26739618048 has 432 divisors, whose sum is σ = 93453151680. Its totient is φ = 7476019200.

The previous prime is 26739618029. The next prime is 26739618049. The reversal of 26739618048 is 84081693762.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 26739617985 and 26739618003.

It is not an unprimeable number, because it can be changed into a prime (26739618049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12848368 + ... + 12850448.

It is an arithmetic number, because the mean of its divisors is an integer number (216326740).

Almost surely, 2^26739618048 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 26739618048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46726575840).

26739618048 is an abundant number, since it is smaller than the sum of its proper divisors (66713533632).

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

26739618048 is a wasteful number, since it uses less digits than its factorization.

26739618048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 26739618048 in words is "twenty-six billion, seven hundred thirty-nine million, six hundred eighteen thousand, forty-eight".