26382828100608 has 1408 divisors, whose sum is σ = 96206930073600. Its totient is φ = 7062449356800.

The previous prime is 26382828100591. The next prime is 26382828100613. The reversal of 26382828100608 is 80600182828362.

26382828100608 is a `hidden beast` number, since 2 + 6 + 3 + 8 + 2 + 8 + 28 + 1 + 0 + 0 + 608 = 666.

It is a super-2 number, since 2×26382828100608² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30083041866 + ... + 30083042742.

Almost surely, 2^{26382828100608} is an apocalyptic number.

26382828100608 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 26382828100608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48103465036800).

26382828100608 is an abundant number, since it is smaller than the sum of its proper divisors (69824101972992).

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

26382828100608 is an equidigital number, since it uses as much as digits as its factorization.

26382828100608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 26382828100608 in words is "twenty-six trillion, three hundred eighty-two billion, eight hundred twenty-eight million, one hundred thousand, six hundred eight".