26161947648 has 264 divisors, whose sum is σ = 80042481792. Its totient is φ = 8531288064.

The previous prime is 26161947631. The next prime is 26161947653. The reversal of 26161947648 is 84674916162.

26161947648 is a `hidden beast` number, since 2 + 6 + 161 + 9 + 476 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 26161947594 and 26161947603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11693986 + ... + 11696222.

Almost surely, 2^26161947648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26161947648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40021240896).

26161947648 is an abundant number, since it is smaller than the sum of its proper divisors (53880534144).

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

26161947648 is an equidigital number, since it uses as much as digits as its factorization.

26161947648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2289 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 26161947648 in words is "twenty-six billion, one hundred sixty-one million, nine hundred forty-seven thousand, six hundred forty-eight".