26880664089600 has 396 divisors, whose sum is σ = 97563986897676. Its totient is φ = 7069978460160.

The previous prime is 26880664089583. The next prime is 26880664089607. The reversal of 26880664089600 is 698046608862.

26880664089600 is a `hidden beast` number, since 2 + 6 + 8 + 80 + 66 + 408 + 96 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4962985906176 + 21917678183424 = 2227776^2 + 4681632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26880664089607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16020094 + ... + 17618306.

Almost surely, 2^{26880664089600} is an apocalyptic number.

26880664089600 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 26880664089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48781993448838).

26880664089600 is an abundant number, since it is smaller than the sum of its proper divisors (70683322808076).

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

26880664089600 is a wasteful number, since it uses less digits than its factorization.

26880664089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598322 (or 1598296 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 26880664089600 in words is "twenty-six trillion, eight hundred eighty billion, six hundred sixty-four million, eighty-nine thousand, six hundred".