26984513818080 has 1152 divisors, whose sum is σ = 123873060519936. Its totient is φ = 5185658880000.

The previous prime is 26984513818019. The next prime is 26984513818081. The reversal of 26984513818080 is 8081831548962.

26984513818080 is a `hidden beast` number, since 2 + 6 + 98 + 451 + 3 + 8 + 18 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 26984513817999 and 26984513818017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26984513818081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68862705 + ... + 69253455.

It is an arithmetic number, because the mean of its divisors is an integer number (107528698368).

Almost surely, 2^{26984513818080} is an apocalyptic number.

26984513818080 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 26984513818080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61936530259968).

26984513818080 is an abundant number, since it is smaller than the sum of its proper divisors (96888546701856).

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

26984513818080 is a wasteful number, since it uses less digits than its factorization.

26984513818080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390840 (or 390829 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 26984513818080 in words is "twenty-six trillion, nine hundred eighty-four billion, five hundred thirteen million, eight hundred eighteen thousand, eighty".