26916675840 has 360 divisors, whose sum is σ = 97428343320. Its totient is φ = 7094697984.

The previous prime is 26916675833. The next prime is 26916675859. The reversal of 26916675840 is 4857661962.

It can be written as a sum of positive squares in 4 ways, for example, as 6879707136 + 20036968704 = 82944^2 + 141552^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

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 39 ways as a sum of consecutive naturals, for example, 9226062 + ... + 9228978.

It is an arithmetic number, because the mean of its divisors is an integer number (270634287).

Almost surely, 2^26916675840 is an apocalyptic number.

26916675840 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 26916675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48714171660).

26916675840 is an abundant number, since it is smaller than the sum of its proper divisors (70511667480).

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

26916675840 is an equidigital number, since it uses as much as digits as its factorization.

26916675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 26916675840 in words is "twenty-six billion, nine hundred sixteen million, six hundred seventy-five thousand, eight hundred forty".