26436141906048 has 3072 divisors, whose sum is σ = 106244296704000. Its totient is φ = 6124213370880.

The previous prime is 26436141906017. The next prime is 26436141906107. The reversal of 26436141906048 is 84060914163462.

26436141906048 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 6 + 14 + 19 + 0 + 604 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26436141905985 and 26436141906003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 115441667598 + ... + 115441667826.

It is an arithmetic number, because the mean of its divisors is an integer number (34584732000).

Almost surely, 2^{26436141906048} is an apocalyptic number.

26436141906048 is a gapful number since it is divisible by the number (28) 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 26436141906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53122148352000).

26436141906048 is an abundant number, since it is smaller than the sum of its proper divisors (79808154797952).

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

26436141906048 is a wasteful number, since it uses less digits than its factorization.

26436141906048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 26436141906048 in words is "twenty-six trillion, four hundred thirty-six billion, one hundred forty-one million, nine hundred six thousand, forty-eight".