26948242249600 has 192 divisors, whose sum is σ = 76628014243200. Its totient is φ = 9172925798400.

The previous prime is 26948242249549. The next prime is 26948242249631. The reversal of 26948242249600 is 694224284962.

It is a happy number.

It is a congruent number.

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, 1213906 + ... + 7441105.

It is an arithmetic number, because the mean of its divisors is an integer number (399104240850).

Almost surely, 2^{26948242249600} is an apocalyptic number.

26948242249600 is a gapful number since it is divisible by the number (20) 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 26948242249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38314007121600).

26948242249600 is an abundant number, since it is smaller than the sum of its proper divisors (49679771993600).

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

26948242249600 is a wasteful number, since it uses less digits than its factorization.

26948242249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8655181 (or 8655164 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 58.

The spelling of 26948242249600 in words is "twenty-six trillion, nine hundred forty-eight billion, two hundred forty-two million, two hundred forty-nine thousand, six hundred".