26968189248 has 560 divisors, whose sum is σ = 107355583104. Its totient is φ = 6464655360.

The previous prime is 26968189217. The next prime is 26968189253. The reversal of 26968189248 is 84298186962.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 79 ways as a sum of consecutive naturals, for example, 5186586 + ... + 5191782.

Almost surely, 2^26968189248 is an apocalyptic number.

26968189248 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 26968189248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53677791552).

26968189248 is an abundant number, since it is smaller than the sum of its proper divisors (80387393856).

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

26968189248 is a wasteful number, since it uses less digits than its factorization.

26968189248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5252 (or 5233 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 26968189248 in words is "twenty-six billion, nine hundred sixty-eight million, one hundred eighty-nine thousand, two hundred forty-eight".