26739426560 has 576 divisors, whose sum is σ = 85475174400. Its totient is φ = 7763558400.

The previous prime is 26739426551. The next prime is 26739426569. The reversal of 26739426560 is 6562493762.

It is an interprime number because it is at equal distance from previous prime (26739426551) and next prime (26739426569).

It is a junction number, because it is equal to n+sod(n) for n = 26739426499 and 26739426508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26739426569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204117695 + ... + 204117825.

It is an arithmetic number, because the mean of its divisors is an integer number (148394400).

Almost surely, 2^26739426560 is an apocalyptic number.

26739426560 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 26739426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42737587200).

26739426560 is an abundant number, since it is smaller than the sum of its proper divisors (58735747840).

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

26739426560 is a wasteful number, since it uses less digits than its factorization.

26739426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 50.

The spelling of 26739426560 in words is "twenty-six billion, seven hundred thirty-nine million, four hundred twenty-six thousand, five hundred sixty".