26682230476800 has 1092 divisors, whose sum is σ = 99962791497540. Its totient is φ = 7060617953280.

The previous prime is 26682230476793. The next prime is 26682230476813. The reversal of 26682230476800 is 867403228662.

26682230476800 is a `hidden beast` number, since 2 + 6 + 68 + 2 + 2 + 30 + 476 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 307678777344 + 26374551699456 = 554688^2 + 5135616^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 10226993896 + ... + 10226996504.

Almost surely, 2^{26682230476800} is an apocalyptic number.

26682230476800 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 26682230476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49981395748770).

26682230476800 is an abundant number, since it is smaller than the sum of its proper divisors (73280561020740).

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

26682230476800 is an equidigital number, since it uses as much as digits as its factorization.

26682230476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 26682230476800 in words is "twenty-six trillion, six hundred eighty-two billion, two hundred thirty million, four hundred seventy-six thousand, eight hundred".