26063161344 has 576 divisors, whose sum is σ = 89132097600. Its totient is φ = 7554539520.

The previous prime is 26063161343. The next prime is 26063161357. The reversal of 26063161344 is 44316136062.

26063161344 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 31 + 613 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26063161299 and 26063161308.

It is not an unprimeable number, because it can be changed into a prime (26063161343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1133180917 + ... + 1133180939.

It is an arithmetic number, because the mean of its divisors is an integer number (154743225).

Almost surely, 2^26063161344 is an apocalyptic number.

26063161344 is a gapful number since it is divisible by the number (24) 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 26063161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44566048800).

26063161344 is an abundant number, since it is smaller than the sum of its proper divisors (63068936256).

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

26063161344 is an frugal number, since it uses more digits than its factorization.

26063161344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 26063161344 in words is "twenty-six billion, sixty-three million, one hundred sixty-one thousand, three hundred forty-four".