26458306560 has 1152 divisors, whose sum is σ = 114476544000. Its totient is φ = 5852528640.

The previous prime is 26458306547. The next prime is 26458306577. The reversal of 26458306560 is 6560385462.

26458306560 is a `hidden beast` number, since 2 + 6 + 4 + 5 + 83 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 853493745 + ... + 853493775.

It is an arithmetic number, because the mean of its divisors is an integer number (99372000).

Almost surely, 2^26458306560 is an apocalyptic number.

26458306560 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 26458306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57238272000).

26458306560 is an abundant number, since it is smaller than the sum of its proper divisors (88018237440).

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

26458306560 is an frugal number, since it uses more digits than its factorization.

26458306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 26458306560 in words is "twenty-six billion, four hundred fifty-eight million, three hundred six thousand, five hundred sixty".