26795241000 has 192 divisors, whose sum is σ = 98801726400. Its totient is φ = 6495792000.

The previous prime is 26795240963. The next prime is 26795241001. The reversal of 26795241000 is 14259762.

26795241000 is a `hidden beast` number, since 26 + 7 + 9 + 524 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26795241001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36330 + ... + 234329.

It is an arithmetic number, because the mean of its divisors is an integer number (514592325).

Almost surely, 2^26795241000 is an apocalyptic number.

26795241000 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 26795241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49400863200).

26795241000 is an abundant number, since it is smaller than the sum of its proper divisors (72006485400).

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

26795241000 is a wasteful number, since it uses less digits than its factorization.

26795241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270697 (or 270680 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 26795241000 in words is "twenty-six billion, seven hundred ninety-five million, two hundred forty-one thousand".