26909568000000 has 2352 divisors, whose sum is σ = 115007187889152. Its totient is φ = 5935104000000.

The previous prime is 26909567999987. The next prime is 26909568000031. The reversal of 26909568000000 is 86590962.

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

It is a self number, because there is not a number n which added to its sum of digits gives 26909568000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 379007999965 + ... + 379008000035.

Almost surely, 2^{26909568000000} is an apocalyptic number.

26909568000000 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 26909568000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57503593944576).

26909568000000 is an abundant number, since it is smaller than the sum of its proper divisors (88097619889152).

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

26909568000000 is an frugal number, since it uses more digits than its factorization.

26909568000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 26909568000000 in words is "twenty-six trillion, nine hundred nine billion, five hundred sixty-eight million", and thus it is an aban number.