26561125520 has 80 divisors (see below), whose sum is σ = 63922426560. Its totient is φ = 10251935232.

The previous prime is 26561125517. The next prime is 26561125529. The reversal of 26561125520 is 2552116562.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (26561125529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6593747 + ... + 6597773.

It is an arithmetic number, because the mean of its divisors is an integer number (799030332).

Almost surely, 2^26561125520 is an apocalyptic number.

26561125520 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 26561125520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31961213280).

26561125520 is an abundant number, since it is smaller than the sum of its proper divisors (37361301040).

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

26561125520 is a wasteful number, since it uses less digits than its factorization.

26561125520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6912 (or 6906 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 26561125520 in words is "twenty-six billion, five hundred sixty-one million, one hundred twenty-five thousand, five hundred twenty".