26854264080 has 480 divisors, whose sum is σ = 109188368640. Its totient is φ = 5777879040.

The previous prime is 26854264079. The next prime is 26854264093. The reversal of 26854264080 is 8046245862.

26854264080 is a `hidden beast` number, since 2 + 68 + 542 + 6 + 40 + 8 + 0 = 666.

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

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, 16565670 + ... + 16567290.

It is an arithmetic number, because the mean of its divisors is an integer number (227475768).

Almost surely, 2^26854264080 is an apocalyptic number.

26854264080 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 26854264080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54594184320).

26854264080 is an abundant number, since it is smaller than the sum of its proper divisors (82334104560).

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

26854264080 is a wasteful number, since it uses less digits than its factorization.

26854264080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 26854264080 in words is "twenty-six billion, eight hundred fifty-four million, two hundred sixty-four thousand, eighty".