26773286400000 has 4680 divisors, whose sum is σ = 127101850710912. Its totient is φ = 5573836800000.

The previous prime is 26773286399953. The next prime is 26773286400011. The reversal of 26773286400000 is 468237762.

26773286400000 is a `hidden beast` number, since 267 + 7 + 328 + 64 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 863654399985 + ... + 863654400015.

Almost surely, 2^{26773286400000} is an apocalyptic number.

26773286400000 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 26773286400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63550925355456).

26773286400000 is an abundant number, since it is smaller than the sum of its proper divisors (100328564310912).

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

26773286400000 is an frugal number, since it uses more digits than its factorization.

26773286400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 26773286400000 in words is "twenty-six trillion, seven hundred seventy-three billion, two hundred eighty-six million, four hundred thousand".