26896194000 has 240 divisors, whose sum is σ = 101166431184. Its totient is φ = 6620544000.

The previous prime is 26896193999. The next prime is 26896194001. The reversal of 26896194000 is 49169862.

It is a happy number.

26896194000 is a `hidden beast` number, since 26 + 8 + 9 + 619 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26896193999) and next prime (26896194001).

It can be written as a sum of positive squares in 8 ways, for example, as 22402904976 + 4493289024 = 149676^2 + 67032^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26896194001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176530 + ... + 291470.

Almost surely, 2^26896194000 is an apocalyptic number.

26896194000 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 26896194000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50583215592).

26896194000 is an abundant number, since it is smaller than the sum of its proper divisors (74270237184).

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

26896194000 is a wasteful number, since it uses less digits than its factorization.

26896194000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114983 (or 114964 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 26896194000 in words is "twenty-six billion, eight hundred ninety-six million, one hundred ninety-four thousand".