26841830400 has 1584 divisors, whose sum is σ = 128294824320. Its totient is φ = 5190451200.

The previous prime is 26841830387. The next prime is 26841830447. The reversal of 26841830400 is 403814862.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 301593556 + ... + 301593644.

Almost surely, 2^26841830400 is an apocalyptic number.

26841830400 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 26841830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64147412160).

26841830400 is an abundant number, since it is smaller than the sum of its proper divisors (101452993920).

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

26841830400 is a wasteful number, since it uses less digits than its factorization.

26841830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 26841830400 in words is "twenty-six billion, eight hundred forty-one million, eight hundred thirty thousand, four hundred".