26023803120 has 720 divisors, whose sum is σ = 107568115200. Its totient is φ = 5727490560.

The previous prime is 26023803107. The next prime is 26023803121. The reversal of 26023803120 is 2130832062.

26023803120 is a `hidden beast` number, since 2 + 602 + 3 + 8 + 0 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26023803121) 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 143 ways as a sum of consecutive naturals, for example, 130772781 + ... + 130772979.

It is an arithmetic number, because the mean of its divisors is an integer number (149400160).

Almost surely, 2^26023803120 is an apocalyptic number.

26023803120 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 26023803120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53784057600).

26023803120 is an abundant number, since it is smaller than the sum of its proper divisors (81544312080).

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

26023803120 is a wasteful number, since it uses less digits than its factorization.

26023803120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 26023803120 in words is "twenty-six billion, twenty-three million, eight hundred three thousand, one hundred twenty".