26428131585280 has 72 divisors (see below), whose sum is σ = 66055965921792. Its totient is φ = 10111632943104.

The previous prime is 26428131585203. The next prime is 26428131585281. The reversal of 26428131585280 is 8258513182462.

It is a super-2 number, since 2×26428131585280² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26428131585281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448817904 + ... + 448876783.

It is an arithmetic number, because the mean of its divisors is an integer number (917443971136).

Almost surely, 2^{26428131585280} is an apocalyptic number.

26428131585280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26428131585280 is an abundant number, since it is smaller than the sum of its proper divisors (39627834336512).

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

26428131585280 is an equidigital number, since it uses as much as digits as its factorization.

26428131585280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897694731 (or 897694717 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 55.

The spelling of 26428131585280 in words is "twenty-six trillion, four hundred twenty-eight billion, one hundred thirty-one million, five hundred eighty-five thousand, two hundred eighty".