26083085728 has 72 divisors (see below), whose sum is σ = 60115968612. Its totient is φ = 11107160064.

The previous prime is 26083085713. The next prime is 26083085801. The reversal of 26083085728 is 82758038062.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21683151504 + 4399934224 = 147252^2 + 66332^2 .

It is a super-2 number, since 2×26083085728² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193200 + ... + 299152.

Almost surely, 2^26083085728 is an apocalyptic number.

26083085728 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 26083085728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30057984306).

26083085728 is an abundant number, since it is smaller than the sum of its proper divisors (34032882884).

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

26083085728 is a wasteful number, since it uses less digits than its factorization.

26083085728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106134 (or 106119 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The spelling of 26083085728 in words is "twenty-six billion, eighty-three million, eighty-five thousand, seven hundred twenty-eight".