26826031872 has 144 divisors (see below), whose sum is σ = 79674547680. Its totient is φ = 8903098368.

The previous prime is 26826031801. The next prime is 26826031873. The reversal of 26826031872 is 27813062862.

26826031872 is a `hidden beast` number, since 2 + 6 + 8 + 260 + 318 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (26826031873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1602168 + ... + 1618824.

It is an arithmetic number, because the mean of its divisors is an integer number (553295470).

Almost surely, 2^26826031872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26826031872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39837273840).

26826031872 is an abundant number, since it is smaller than the sum of its proper divisors (52848515808).

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

26826031872 is a wasteful number, since it uses less digits than its factorization.

26826031872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16915 (or 16895 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 26826031872 in words is "twenty-six billion, eight hundred twenty-six million, thirty-one thousand, eight hundred seventy-two".