26304730200 has 576 divisors, whose sum is σ = 103413024000. Its totient is φ = 5868702720.

The previous prime is 26304730163. The next prime is 26304730201. The reversal of 26304730200 is 203740362.

26304730200 is a `hidden beast` number, since 2 + 630 + 4 + 7 + 3 + 0 + 20 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26304730201) by changing a digit.

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, 146953711 + ... + 146953889.

It is an arithmetic number, because the mean of its divisors is an integer number (179536500).

Almost surely, 2^26304730200 is an apocalyptic number.

26304730200 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 26304730200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51706512000).

26304730200 is an abundant number, since it is smaller than the sum of its proper divisors (77108293800).

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

26304730200 is a wasteful number, since it uses less digits than its factorization.

26304730200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 26304730200 in words is "twenty-six billion, three hundred four million, seven hundred thirty thousand, two hundred".