26465765760 has 768 divisors, whose sum is σ = 111129408000. Its totient is φ = 5669388288.

The previous prime is 26465765737. The next prime is 26465765771. The reversal of 26465765760 is 6756756462.

26465765760 is a `hidden beast` number, since 2 + 6 + 4 + 6 + 576 + 5 + 7 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26465765697 and 26465765706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137128224 + ... + 137128416.

It is an arithmetic number, because the mean of its divisors is an integer number (144699750).

Almost surely, 2^26465765760 is an apocalyptic number.

26465765760 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 26465765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55564704000).

26465765760 is an abundant number, since it is smaller than the sum of its proper divisors (84663642240).

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

26465765760 is a wasteful number, since it uses less digits than its factorization.

26465765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 26465765760 in words is "twenty-six billion, four hundred sixty-five million, seven hundred sixty-five thousand, seven hundred sixty".