26643865248 has 1008 divisors, whose sum is σ = 108140580576. Its totient is φ = 6348948480.

The previous prime is 26643865207. The next prime is 26643865253. The reversal of 26643865248 is 84256834662.

It is a happy number.

26643865248 is a `hidden beast` number, since 26 + 64 + 38 + 6 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 26643865194 and 26643865203.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 163459215 + ... + 163459377.

It is an arithmetic number, because the mean of its divisors is an integer number (107282322).

Almost surely, 2^26643865248 is an apocalyptic number.

26643865248 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 26643865248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54070290288).

26643865248 is an abundant number, since it is smaller than the sum of its proper divisors (81496715328).

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

26643865248 is a wasteful number, since it uses less digits than its factorization.

26643865248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 199 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 26643865248 in words is "twenty-six billion, six hundred forty-three million, eight hundred sixty-five thousand, two hundred forty-eight".