26828981446400 has 1080 divisors, whose sum is σ = 84697519261824. Its totient is φ = 8375618764800.

The previous prime is 26828981446331. The next prime is 26828981446409. The reversal of 26828981446400 is 464418982862.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26828981446409) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8098091144 + ... + 8098094456.

Almost surely, 2^{26828981446400} is an apocalyptic number.

26828981446400 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 26828981446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42348759630912).

26828981446400 is an abundant number, since it is smaller than the sum of its proper divisors (57868537815424).

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

26828981446400 is an equidigital number, since it uses as much as digits as its factorization.

26828981446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3415 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 62.

The spelling of 26828981446400 in words is "twenty-six trillion, eight hundred twenty-eight billion, nine hundred eighty-one million, four hundred forty-six thousand, four hundred".