26276866560 has 800 divisors, whose sum is σ = 110323331712. Its totient is φ = 5852528640.

The previous prime is 26276866559. The next prime is 26276866591. The reversal of 26276866560 is 6566867262.

It is a happy number.

26276866560 is a `hidden beast` number, since 2 + 6 + 2 + 76 + 8 + 6 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 26276866497 and 26276866506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62415150 + ... + 62415570.

Almost surely, 2^26276866560 is an apocalyptic number.

26276866560 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 26276866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55161665856).

26276866560 is an abundant number, since it is smaller than the sum of its proper divisors (84046465152).

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

26276866560 is an equidigital number, since it uses as much as digits as its factorization.

26276866560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 26276866560 in words is "twenty-six billion, two hundred seventy-six million, eight hundred sixty-six thousand, five hundred sixty".