26350663680 has 864 divisors, whose sum is σ = 107053455600. Its totient is φ = 5969018880.

The previous prime is 26350663639. The next prime is 26350663681. The reversal of 26350663680 is 8636605362.

26350663680 is a `hidden beast` number, since 2 + 6 + 3 + 5 + 0 + 6 + 636 + 8 + 0 = 666.

It is a super-2 number, since 2×26350663680² (a number of 22 digits) contains 22 as substring.

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 (26350663681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 189573051 + ... + 189573189.

Almost surely, 2^26350663680 is an apocalyptic number.

26350663680 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 26350663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53526727800).

26350663680 is an abundant number, since it is smaller than the sum of its proper divisors (80702791920).

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

26350663680 is a wasteful number, since it uses less digits than its factorization.

26350663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 26350663680 in words is "twenty-six billion, three hundred fifty million, six hundred sixty-three thousand, six hundred eighty".