26395873680 has 160 divisors (see below), whose sum is σ = 89402849280. Its totient is φ = 6389194240.

The previous prime is 26395873649. The next prime is 26395873687. The reversal of 26395873680 is 8637859362.

It is a self number, because there is not a number n which added to its sum of digits gives 26395873680.

It is not an unprimeable number, because it can be changed into a prime (26395873687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1795801 + ... + 1810439.

It is an arithmetic number, because the mean of its divisors is an integer number (558767808).

Almost surely, 2^26395873680 is an apocalyptic number.

26395873680 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 26395873680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44701424640).

26395873680 is an abundant number, since it is smaller than the sum of its proper divisors (63006975600).

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

26395873680 is a wasteful number, since it uses less digits than its factorization.

26395873680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15349 (or 15343 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 26395873680 in words is "twenty-six billion, three hundred ninety-five million, eight hundred seventy-three thousand, six hundred eighty".