26666669280000 has 720 divisors, whose sum is σ = 92137340988000. Its totient is φ = 6836551680000.

The previous prime is 26666669279993. The next prime is 26666669280001. The reversal of 26666669280000 is 8296666662.

It is a super-2 number, since 2×26666669280000² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (26666669280001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3354716026 + ... + 3354723974.

It is an arithmetic number, because the mean of its divisors is an integer number (127968529150).

Almost surely, 2^{26666669280000} is an apocalyptic number.

26666669280000 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 26666669280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46068670494000).

26666669280000 is an abundant number, since it is smaller than the sum of its proper divisors (65470671708000).

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

26666669280000 is an equidigital number, since it uses as much as digits as its factorization.

26666669280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8258 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 26666669280000 in words is "twenty-six trillion, six hundred sixty-six billion, six hundred sixty-nine million, two hundred eighty thousand".