26205320135680 has 352 divisors, whose sum is σ = 74200972368384. Its totient is φ = 8694357295104.

The previous prime is 26205320135663. The next prime is 26205320135717. The reversal of 26205320135680 is 8653102350262.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138570469 + ... + 138759451.

Almost surely, 2^{26205320135680} is an apocalyptic number.

26205320135680 is a gapful number since it is divisible by the number (20) 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 26205320135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37100486184192).

26205320135680 is an abundant number, since it is smaller than the sum of its proper divisors (47995652232704).

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

26205320135680 is a wasteful number, since it uses less digits than its factorization.

26205320135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189141 (or 189123 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 26205320135680 in words is "twenty-six trillion, two hundred five billion, three hundred twenty million, one hundred thirty-five thousand, six hundred eighty".