26681296320 has 560 divisors, whose sum is σ = 109049149440. Its totient is φ = 6066026496.

The previous prime is 26681296277. The next prime is 26681296321. The reversal of 26681296320 is 2369218662.

26681296320 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 1 + 2 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26681296321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55701841 + ... + 55702319.

It is an arithmetic number, because the mean of its divisors is an integer number (194730624).

Almost surely, 2^26681296320 is an apocalyptic number.

26681296320 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 26681296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54524574720).

26681296320 is an abundant number, since it is smaller than the sum of its proper divisors (82367853120).

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

26681296320 is a wasteful number, since it uses less digits than its factorization.

26681296320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 26681296320 in words is "twenty-six billion, six hundred eighty-one million, two hundred ninety-six thousand, three hundred twenty".