26851840000 has 260 divisors, whose sum is σ = 71162130204. Its totient is φ = 10092544000.

The previous prime is 26851839991. The next prime is 26851840009. The reversal of 26851840000 is 4815862.

It is an interprime number because it is at equal distance from previous prime (26851839991) and next prime (26851840009).

It can be written as a sum of positive squares in 10 ways, for example, as 23829479424 + 3022360576 = 154368^2 + 54976^2 .

It is a super-2 number, since 2×26851840000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26851840009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43519692 + ... + 43520308.

Almost surely, 2^26851840000 is an apocalyptic number.

26851840000 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 26851840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35581065102).

26851840000 is an abundant number, since it is smaller than the sum of its proper divisors (44310290204).

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

26851840000 is an frugal number, since it uses more digits than its factorization.

26851840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 26851840000 in words is "twenty-six billion, eight hundred fifty-one million, eight hundred forty thousand".