26725788482688 has 384 divisors, whose sum is σ = 83248964248320. Its totient is φ = 8197653823488.

The previous prime is 26725788482663. The next prime is 26725788482693. The reversal of 26725788482688 is 88628488752762.

26725788482688 is a `hidden beast` number, since 2 + 6 + 7 + 2 + 5 + 78 + 8 + 482 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

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, 917672095 + ... + 917701217.

It is an arithmetic number, because the mean of its divisors is an integer number (216794177730).

Almost surely, 2^{26725788482688} 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 26725788482688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41624482124160).

26725788482688 is an abundant number, since it is smaller than the sum of its proper divisors (56523175765632).

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

26725788482688 is a wasteful number, since it uses less digits than its factorization.

26725788482688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30204 (or 30189 counting only the distinct ones).

The product of its digits is 9248440320, while the sum is 81.

The spelling of 26725788482688 in words is "twenty-six trillion, seven hundred twenty-five billion, seven hundred eighty-eight million, four hundred eighty-two thousand, six hundred eighty-eight".