26295378755760 has 320 divisors, whose sum is σ = 92796720629760. Its totient is φ = 6839993825280.

The previous prime is 26295378755747. The next prime is 26295378755777. The reversal of 26295378755760 is 6755787359262.

26295378755760 is a `hidden beast` number, since 2 + 6 + 2 + 9 + 5 + 3 + 7 + 8 + 7 + 557 + 60 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 668342649 + ... + 668381991.

It is an arithmetic number, because the mean of its divisors is an integer number (289989751968).

Almost surely, 2^{26295378755760} is an apocalyptic number.

26295378755760 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 26295378755760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46398360314880).

26295378755760 is an abundant number, since it is smaller than the sum of its proper divisors (66501341874000).

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

26295378755760 is a wasteful number, since it uses less digits than its factorization.

26295378755760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46953 (or 46941 counting only the distinct ones).

The product of its (nonzero) digits is 1333584000, while the sum is 72.

The spelling of 26295378755760 in words is "twenty-six trillion, two hundred ninety-five billion, three hundred seventy-eight million, seven hundred fifty-five thousand, seven hundred sixty".