26011238400000 has 1980 divisors, whose sum is σ = 112993189031646. Its totient is φ = 5945425920000.

The previous prime is 26011238399977. The next prime is 26011238400013. The reversal of 26011238400000 is 483211062.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

26011238400000 is a `hidden beast` number, since 2 + 601 + 12 + 3 + 8 + 40 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 37456183296 + 25973782216704 = 193536^2 + 5096448^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3715891199997 + ... + 3715891200003.

Almost surely, 2^{26011238400000} is an apocalyptic number.

26011238400000 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 26011238400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56496594515823).

26011238400000 is an abundant number, since it is smaller than the sum of its proper divisors (86981950631646).

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

26011238400000 is an frugal number, since it uses more digits than its factorization.

26011238400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 26011238400000 in words is "twenty-six trillion, eleven billion, two hundred thirty-eight million, four hundred thousand".