26356228200 has 192 divisors, whose sum is σ = 91023192000. Its totient is φ = 7009701120.

The previous prime is 26356228193. The next prime is 26356228201. The reversal of 26356228200 is 282265362.

26356228200 is a `hidden beast` number, since 2 + 6 + 3 + 5 + 622 + 8 + 20 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26356228201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2094327 + ... + 2106873.

It is an arithmetic number, because the mean of its divisors is an integer number (474079125).

Almost surely, 2^26356228200 is an apocalyptic number.

26356228200 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 26356228200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45511596000).

26356228200 is an abundant number, since it is smaller than the sum of its proper divisors (64666963800).

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

26356228200 is a wasteful number, since it uses less digits than its factorization.

26356228200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12961 (or 12946 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 26356228200 in words is "twenty-six billion, three hundred fifty-six million, two hundred twenty-eight thousand, two hundred".