26880556412580 has 288 divisors, whose sum is σ = 86358610162944. Its totient is φ = 6222921449472.

The previous prime is 26880556412543. The next prime is 26880556412581. The reversal of 26880556412580 is 8521465508862.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (26880556412581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235586424 + ... + 235700496.

It is an arithmetic number, because the mean of its divisors is an integer number (299856285288).

Almost surely, 2^{26880556412580} is an apocalyptic number.

26880556412580 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 26880556412580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43179305081472).

26880556412580 is an abundant number, since it is smaller than the sum of its proper divisors (59478053750364).

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

26880556412580 is a wasteful number, since it uses less digits than its factorization.

26880556412580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115495 (or 115480 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 60.

The spelling of 26880556412580 in words is "twenty-six trillion, eight hundred eighty billion, five hundred fifty-six million, four hundred twelve thousand, five hundred eighty".