26628802449280 has 128 divisors (see below), whose sum is σ = 64382147244000. Its totient is φ = 10530631778304.

The previous prime is 26628802449269. The next prime is 26628802449281. The reversal of 26628802449280 is 8294420882662.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26628802449281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623064072 + ... + 623106808.

Almost surely, 2^{26628802449280} is an apocalyptic number.

26628802449280 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 26628802449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32191073622000).

26628802449280 is an abundant number, since it is smaller than the sum of its proper divisors (37753344794720).

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

26628802449280 is a wasteful number, since it uses less digits than its factorization.

26628802449280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53784 (or 53772 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 61.

The spelling of 26628802449280 in words is "twenty-six trillion, six hundred twenty-eight billion, eight hundred two million, four hundred forty-nine thousand, two hundred eighty".