26867652448 has 288 divisors, whose sum is σ = 70285211136. Its totient is φ = 9863553024.

The previous prime is 26867652421. The next prime is 26867652451. The reversal of 26867652448 is 84425676862.

It is a junction number, because it is equal to n+sod(n) for n = 26867652392 and 26867652401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53414565 + ... + 53415067.

It is an arithmetic number, because the mean of its divisors is an integer number (244045872).

Almost surely, 2^26867652448 is an apocalyptic number.

26867652448 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 26867652448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35142605568).

26867652448 is an abundant number, since it is smaller than the sum of its proper divisors (43417558688).

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

26867652448 is a wasteful number, since it uses less digits than its factorization.

26867652448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 625 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 58.

The spelling of 26867652448 in words is "twenty-six billion, eight hundred sixty-seven million, six hundred fifty-two thousand, four hundred forty-eight".