26846000544 has 96 divisors (see below), whose sum is σ = 76920689664. Its totient is φ = 8130548480.

The previous prime is 26846000539. The next prime is 26846000549. The reversal of 26846000544 is 44500064862.

It is an interprime number because it is at equal distance from previous prime (26846000539) and next prime (26846000549).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (26846000549) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2172367 + ... + 2184689.

It is an arithmetic number, because the mean of its divisors is an integer number (801257184).

Almost surely, 2^26846000544 is an apocalyptic number.

26846000544 is a gapful number since it is divisible by the number (24) 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 26846000544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38460344832).

26846000544 is an abundant number, since it is smaller than the sum of its proper divisors (50074689120).

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

26846000544 is a wasteful number, since it uses less digits than its factorization.

With its successor (26846000545) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (14402).

26846000544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14410 (or 14402 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 26846000544 in words is "twenty-six billion, eight hundred forty-six million, five hundred forty-four", and thus it is an aban number.