26001416560 has 80 divisors (see below), whose sum is σ = 69202374336. Its totient is φ = 8900204544.

The previous prime is 26001416549. The next prime is 26001416599. The reversal of 26001416560 is 6561410062.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307894 + ... + 383146.

Almost surely, 2^26001416560 is an apocalyptic number.

26001416560 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 26001416560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34601187168).

26001416560 is an abundant number, since it is smaller than the sum of its proper divisors (43200957776).

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

26001416560 is a wasteful number, since it uses less digits than its factorization.

26001416560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75890 (or 75884 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 26001416560 in words is "twenty-six billion, one million, four hundred sixteen thousand, five hundred sixty".