26501034560 has 672 divisors, whose sum is σ = 88263447552. Its totient is φ = 7447265280.

The previous prime is 26501034557. The next prime is 26501034569. The reversal of 26501034560 is 6543010562.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (26501034569) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118838609 + ... + 118838831.

It is an arithmetic number, because the mean of its divisors is an integer number (131344416).

Almost surely, 2^26501034560 is an apocalyptic number.

26501034560 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 26501034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44131723776).

26501034560 is an abundant number, since it is smaller than the sum of its proper divisors (61762412992).

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

26501034560 is a wasteful number, since it uses less digits than its factorization.

26501034560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 26501034560 in words is "twenty-six billion, five hundred one million, thirty-four thousand, five hundred sixty".