26384233920 has 672 divisors, whose sum is σ = 100872511488. Its totient is φ = 5812224000.

The previous prime is 26384233907. The next prime is 26384233943. The reversal of 26384233920 is 2933248362.

It is a happy number.

It is a super-2 number, since 2×26384233920² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 61216105 + ... + 61216535.

It is an arithmetic number, because the mean of its divisors is an integer number (150107904).

Almost surely, 2^26384233920 is an apocalyptic number.

26384233920 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 26384233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50436255744).

26384233920 is an abundant number, since it is smaller than the sum of its proper divisors (74488277568).

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

26384233920 is a wasteful number, since it uses less digits than its factorization.

26384233920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 26384233920 in words is "twenty-six billion, three hundred eighty-four million, two hundred thirty-three thousand, nine hundred twenty".