26230579200 has 1008 divisors, whose sum is σ = 114088590720. Its totient is φ = 5626920960.

The previous prime is 26230579189. The next prime is 26230579211. The reversal of 26230579200 is 297503262.

26230579200 is a `hidden beast` number, since 2 + 62 + 3 + 0 + 579 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26230579189) and next prime (26230579211).

It is a tau number, because it is divible by the number of its divisors (1008).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 245145547 + ... + 245145653.

Almost surely, 2^26230579200 is an apocalyptic number.

26230579200 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 26230579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57044295360).

26230579200 is an abundant number, since it is smaller than the sum of its proper divisors (87858011520).

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

26230579200 is a wasteful number, since it uses less digits than its factorization.

26230579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 26230579200 in words is "twenty-six billion, two hundred thirty million, five hundred seventy-nine thousand, two hundred".