26666666693280 has 288 divisors, whose sum is σ = 93467827200384. Its totient is φ = 6918299486208.

The previous prime is 26666666693273. The next prime is 26666666693281. The reversal of 26666666693280 is 8239666666662.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×26666666693280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 26666666693199 and 26666666693208.

It is not an unprimeable number, because it can be changed into a prime (26666666693281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1128831549 + ... + 1128855171.

It is an arithmetic number, because the mean of its divisors is an integer number (324541066668).

Almost surely, 2^{26666666693280} is an apocalyptic number.

26666666693280 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 26666666693280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46733913600192).

26666666693280 is an abundant number, since it is smaller than the sum of its proper divisors (66801160507104).

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

26666666693280 is a wasteful number, since it uses less digits than its factorization.

26666666693280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44868 (or 44857 counting only the distinct ones).

The product of its (nonzero) digits is 1451188224, while the sum is 72.

The spelling of 26666666693280 in words is "twenty-six trillion, six hundred sixty-six billion, six hundred sixty-six million, six hundred ninety-three thousand, two hundred eighty".