26972887680000 has 880 divisors, whose sum is σ = 100157842480960. Its totient is φ = 7168352256000.

The previous prime is 26972887679999. The next prime is 26972887680031. The reversal of 26972887680000 is 8678827962.

It is a self number, because there is not a number n which added to its sum of digits gives 26972887680000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5408637507 + ... + 5408642493.

It is an arithmetic number, because the mean of its divisors is an integer number (113815730092).

Almost surely, 2^{26972887680000} is an apocalyptic number.

26972887680000 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 26972887680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50078921240480).

26972887680000 is an abundant number, since it is smaller than the sum of its proper divisors (73184954800960).

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

26972887680000 is an equidigital number, since it uses as much as digits as its factorization.

26972887680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5349 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 26972887680000 in words is "twenty-six trillion, nine hundred seventy-two billion, eight hundred eighty-seven million, six hundred eighty thousand".