26213427900 has 864 divisors, whose sum is σ = 100851878400. Its totient is φ = 5816448000.

The previous prime is 26213427853. The next prime is 26213427901. The reversal of 26213427900 is 972431262.

26213427900 is a `hidden beast` number, since 2 + 621 + 3 + 4 + 27 + 9 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26213427901) 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 287 ways as a sum of consecutive naturals, for example, 254499249 + ... + 254499351.

Almost surely, 2^26213427900 is an apocalyptic number.

26213427900 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 26213427900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50425939200).

26213427900 is an abundant number, since it is smaller than the sum of its proper divisors (74638450500).

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

26213427900 is a wasteful number, since it uses less digits than its factorization.

26213427900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 26213427900 in words is "twenty-six billion, two hundred thirteen million, four hundred twenty-seven thousand, nine hundred".