26231353920 has 168 divisors, whose sum is σ = 92425951800. Its totient is φ = 6824386560.

The previous prime is 26231353903. The next prime is 26231353937. The reversal of 26231353920 is 2935313262.

26231353920 is a `hidden beast` number, since 2 + 6 + 231 + 35 + 392 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26231353903) and next prime (26231353937).

It can be written as a sum of positive squares in 4 ways, for example, as 2903616 + 26228450304 = 1704^2 + 161952^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7006 + ... + 229154.

It is an arithmetic number, because the mean of its divisors is an integer number (550154475).

Almost surely, 2^26231353920 is an apocalyptic number.

26231353920 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 26231353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46212975900).

26231353920 is an abundant number, since it is smaller than the sum of its proper divisors (66194597880).

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

26231353920 is a wasteful number, since it uses less digits than its factorization.

26231353920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222213 (or 222200 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 26231353920 in words is "twenty-six billion, two hundred thirty-one million, three hundred fifty-three thousand, nine hundred twenty".