26869248000 has 1248 divisors, whose sum is σ = 119601705600. Its totient is φ = 5780275200.

The previous prime is 26869247987. The next prime is 26869248001. The reversal of 26869248000 is 84296862.

26869248000 is a `hidden beast` number, since 2 + 6 + 86 + 92 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (26869248001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1580543992 + ... + 1580544008.

It is an arithmetic number, because the mean of its divisors is an integer number (95834700).

Almost surely, 2^26869248000 is an apocalyptic number.

26869248000 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 26869248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59800852800).

26869248000 is an abundant number, since it is smaller than the sum of its proper divisors (92732457600).

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

26869248000 is an equidigital number, since it uses as much as digits as its factorization.

26869248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 26869248000 in words is "twenty-six billion, eight hundred sixty-nine million, two hundred forty-eight thousand".