26729698560 has 288 divisors, whose sum is σ = 90172776960. Its totient is φ = 6729375744.

The previous prime is 26729698531. The next prime is 26729698609. The reversal of 26729698560 is 6589692762.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 26729698494 and 26729698503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32320867 + ... + 32321693.

It is an arithmetic number, because the mean of its divisors is an integer number (313099920).

Almost surely, 2^26729698560 is an apocalyptic number.

26729698560 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 26729698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45086388480).

26729698560 is an abundant number, since it is smaller than the sum of its proper divisors (63443078400).

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

26729698560 is a wasteful number, since it uses less digits than its factorization.

26729698560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 26729698560 in words is "twenty-six billion, seven hundred twenty-nine million, six hundred ninety-eight thousand, five hundred sixty".