26230770900 has 432 divisors, whose sum is σ = 90812187648. Its totient is φ = 6310656000.

The previous prime is 26230770887. The next prime is 26230770913. The reversal of 26230770900 is 907703262.

26230770900 is a `hidden beast` number, since 262 + 307 + 7 + 0 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26230770887) and next prime (26230770913).

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26309202 + ... + 26310198.

Almost surely, 2^26230770900 is an apocalyptic number.

26230770900 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 26230770900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45406093824).

26230770900 is an abundant number, since it is smaller than the sum of its proper divisors (64581416748).

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

26230770900 is a wasteful number, since it uses less digits than its factorization.

26230770900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 26230770900 in words is "twenty-six billion, two hundred thirty million, seven hundred seventy thousand, nine hundred".