26272575648 has 288 divisors, whose sum is σ = 84533222592. Its totient is φ = 7670476800.

The previous prime is 26272575647. The next prime is 26272575673. The reversal of 26272575648 is 84657527262.

26272575648 is a `hidden beast` number, since 2 + 6 + 2 + 7 + 2 + 575 + 64 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 26272575594 and 26272575603.

It is not an unprimeable number, because it can be changed into a prime (26272575647) 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, 10779486 + ... + 10781922.

It is an arithmetic number, because the mean of its divisors is an integer number (293518134).

Almost surely, 2^26272575648 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 26272575648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42266611296).

26272575648 is an abundant number, since it is smaller than the sum of its proper divisors (58260646944).

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

26272575648 is a wasteful number, since it uses less digits than its factorization.

26272575648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2577 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 26272575648 in words is "twenty-six billion, two hundred seventy-two million, five hundred seventy-five thousand, six hundred forty-eight".