26904811374080 has 160 divisors (see below), whose sum is σ = 64693596844800. Its totient is φ = 10731068710912.

The previous prime is 26904811374079. The next prime is 26904811374139. The reversal of 26904811374080 is 8047311840962.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2856435611 + ... + 2856445029.

It is an arithmetic number, because the mean of its divisors is an integer number (404334980280).

Almost surely, 2^{26904811374080} is an apocalyptic number.

26904811374080 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 26904811374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32346798422400).

26904811374080 is an abundant number, since it is smaller than the sum of its proper divisors (37788785470720).

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

26904811374080 is an equidigital number, since it uses as much as digits as its factorization.

26904811374080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12524 (or 12508 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 53.

The spelling of 26904811374080 in words is "twenty-six trillion, nine hundred four billion, eight hundred eleven million, three hundred seventy-four thousand, eighty".