26182067840000 has 220 divisors, whose sum is σ = 66636365134284. Its totient is φ = 10275213312000.

The previous prime is 26182067839969. The next prime is 26182067840009. The reversal of 26182067840000 is 4876028162.

It can be written as a sum of positive squares in 10 ways, for example, as 14055180952576 + 12126886887424 = 3749024^2 + 3482368^2 .

It is not an unprimeable number, because it can be changed into a prime (26182067840009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33534062 + ... + 34305938.

Almost surely, 2^{26182067840000} is an apocalyptic number.

26182067840000 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 26182067840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33318182567142).

26182067840000 is an abundant number, since it is smaller than the sum of its proper divisors (40454297294284).

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

26182067840000 is an frugal number, since it uses more digits than its factorization.

26182067840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771970 (or 771937 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 26182067840000 in words is "twenty-six trillion, one hundred eighty-two billion, sixty-seven million, eight hundred forty thousand".