26161527744 has 672 divisors, whose sum is σ = 90799188480. Its totient is φ = 7390310400.

The previous prime is 26161527677. The next prime is 26161527757. The reversal of 26161527744 is 44772516162.

26161527744 is a `hidden beast` number, since 2 + 6 + 1 + 615 + 27 + 7 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 26161527744.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 240013962 + ... + 240014070.

It is an arithmetic number, because the mean of its divisors is an integer number (135117840).

Almost surely, 2^26161527744 is an apocalyptic number.

26161527744 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 26161527744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45399594240).

26161527744 is an abundant number, since it is smaller than the sum of its proper divisors (64637660736).

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

26161527744 is a wasteful number, since it uses less digits than its factorization.

26161527744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 26161527744 in words is "twenty-six billion, one hundred sixty-one million, five hundred twenty-seven thousand, seven hundred forty-four".