26313655680 has 512 divisors, whose sum is σ = 102846844800. Its totient is φ = 6317015040.

The previous prime is 26313655679. The next prime is 26313655681. The reversal of 26313655680 is 8655631362.

26313655680 is a `hidden beast` number, since 2 + 6 + 3 + 13 + 6 + 556 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (26313655679) and next prime (26313655681).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26313655681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9208812 + ... + 9211668.

Almost surely, 2^26313655680 is an apocalyptic number.

26313655680 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 26313655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51423422400).

26313655680 is an abundant number, since it is smaller than the sum of its proper divisors (76533189120).

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

26313655680 is a wasteful number, since it uses less digits than its factorization.

26313655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 26313655680 in words is "twenty-six billion, three hundred thirteen million, six hundred fifty-five thousand, six hundred eighty".