26647066800000 has 3072 divisors, whose sum is σ = 110152949760000. Its totient is φ = 6314112000000.

The previous prime is 26647066799993. The next prime is 26647066800047. The reversal of 26647066800000 is 866074662.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 375310799965 + ... + 375310800035.

It is an arithmetic number, because the mean of its divisors is an integer number (35857080000).

Almost surely, 2^{26647066800000} is an apocalyptic number.

26647066800000 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 26647066800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55076474880000).

26647066800000 is an abundant number, since it is smaller than the sum of its proper divisors (83505882960000).

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

26647066800000 is an equidigital number, since it uses as much as digits as its factorization.

26647066800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 26647066800000 in words is "twenty-six trillion, six hundred forty-seven billion, sixty-six million, eight hundred thousand".