26089127569920 has 640 divisors, whose sum is σ = 87683496468480. Its totient is φ = 6608733143040.

The previous prime is 26089127569873. The next prime is 26089127569933. The reversal of 26089127569920 is 2996572198062.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16336334562 + ... + 16336336158.

It is an arithmetic number, because the mean of its divisors is an integer number (137005463232).

Almost surely, 2^{26089127569920} is an apocalyptic number.

26089127569920 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 26089127569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43841748234240).

26089127569920 is an abundant number, since it is smaller than the sum of its proper divisors (61594368898560).

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

26089127569920 is a wasteful number, since it uses less digits than its factorization.

26089127569920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 66.

The spelling of 26089127569920 in words is "twenty-six trillion, eighty-nine billion, one hundred twenty-seven million, five hundred sixty-nine thousand, nine hundred twenty".