26117406720 has 480 divisors, whose sum is σ = 96183687600. Its totient is φ = 6794772480.

The previous prime is 26117406703. The next prime is 26117406739. The reversal of 26117406720 is 2760471162.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×26117406720³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637009900 + ... + 637009940.

Almost surely, 2^26117406720 is an apocalyptic number.

26117406720 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 26117406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48091843800).

26117406720 is an abundant number, since it is smaller than the sum of its proper divisors (70066280880).

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

26117406720 is an frugal number, since it uses more digits than its factorization.

26117406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 26117406720 its reverse (2760471162), we get a palindrome (28877877882).

The spelling of 26117406720 in words is "twenty-six billion, one hundred seventeen million, four hundred six thousand, seven hundred twenty".