26746286112 has 432 divisors, whose sum is σ = 97408059840. Its totient is φ = 6808209408.

The previous prime is 26746286059. The next prime is 26746286117. The reversal of 26746286112 is 21168264762.

26746286112 is a `hidden beast` number, since 2 + 6 + 7 + 4 + 6 + 28 + 611 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26746286117) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9879063 + ... + 9881769.

It is an arithmetic number, because the mean of its divisors is an integer number (225481620).

Almost surely, 2^26746286112 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 26746286112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48704029920).

26746286112 is an abundant number, since it is smaller than the sum of its proper divisors (70661773728).

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

26746286112 is a wasteful number, since it uses less digits than its factorization.

26746286112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2761 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 26746286112 in words is "twenty-six billion, seven hundred forty-six million, two hundred eighty-six thousand, one hundred twelve".