26285067648 has 480 divisors, whose sum is σ = 93986798400. Its totient is φ = 7263406080.

The previous prime is 26285067643. The next prime is 26285067659. The reversal of 26285067648 is 84676058262.

26285067648 is a `hidden beast` number, since 2 + 6 + 28 + 506 + 76 + 48 = 666.

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 = 26285067594 and 26285067603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26285067643) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15748158 + ... + 15749826.

It is an arithmetic number, because the mean of its divisors is an integer number (195805830).

Almost surely, 2^26285067648 is an apocalyptic number.

26285067648 is a gapful number since it is divisible by the number (28) 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 26285067648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46993399200).

26285067648 is an abundant number, since it is smaller than the sum of its proper divisors (67701730752).

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

26285067648 is a wasteful number, since it uses less digits than its factorization.

26285067648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 26285067648 in words is "twenty-six billion, two hundred eighty-five million, sixty-seven thousand, six hundred forty-eight".