26028711779616 has 720 divisors, whose sum is σ = 99204440421240. Its totient is φ = 6627988684800.

The previous prime is 26028711779597. The next prime is 26028711779617. The reversal of 26028711779616 is 61697711782062.

26028711779616 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 8 + 7 + 1 + 1 + 7 + 7 + 9 + 616 = 666.

26028711779616 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13806723747600 + 12221988032016 = 3715740^2 + 3495996^2 .

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

It is not an unprimeable number, because it can be changed into a prime (26028711779617) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47610216 + ... + 48153816.

Almost surely, 2^{26028711779616} is an apocalyptic number.

26028711779616 is a gapful number since it is divisible by the number (26) 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 26028711779616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49602220210620).

26028711779616 is an abundant number, since it is smaller than the sum of its proper divisors (73175728641624).

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

26028711779616 is a wasteful number, since it uses less digits than its factorization.

26028711779616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543679 (or 543655 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 26028711779616 in words is "twenty-six trillion, twenty-eight billion, seven hundred eleven million, seven hundred seventy-nine thousand, six hundred sixteen".