26263709904960 has 1008 divisors, whose sum is σ = 104917656811968. Its totient is φ = 6246710046720.

The previous prime is 26263709904953. The next prime is 26263709905007. The reversal of 26263709904960 is 6940990736262.

26263709904960 is a `hidden beast` number, since 2 + 6 + 26 + 37 + 0 + 9 + 90 + 496 + 0 = 666.

26263709904960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 498648547 + ... + 498701213.

It is an arithmetic number, because the mean of its divisors is an integer number (104084976996).

Almost surely, 2^{26263709904960} is an apocalyptic number.

26263709904960 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 26263709904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52458828405984).

26263709904960 is an abundant number, since it is smaller than the sum of its proper divisors (78653946907008).

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

26263709904960 is a wasteful number, since it uses less digits than its factorization.

26263709904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52774 (or 52741 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 26263709904960 in words is "twenty-six trillion, two hundred sixty-three billion, seven hundred nine million, nine hundred four thousand, nine hundred sixty".