26041070880 has 288 divisors, whose sum is σ = 98776117440. Its totient is φ = 6193674240.

The previous prime is 26041070837. The next prime is 26041070929. The reversal of 26041070880 is 8807014062.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 824011 + ... + 855029.

It is an arithmetic number, because the mean of its divisors is an integer number (342972630).

Almost surely, 2^26041070880 is an apocalyptic number.

26041070880 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 26041070880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49388058720).

26041070880 is an abundant number, since it is smaller than the sum of its proper divisors (72735046560).

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

26041070880 is a wasteful number, since it uses less digits than its factorization.

26041070880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31104 (or 31093 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 26041070880 in words is "twenty-six billion, forty-one million, seventy thousand, eight hundred eighty".