26583383040 has 176 divisors, whose sum is σ = 85643859840. Its totient is φ = 7037337600.

The previous prime is 26583382949. The next prime is 26583383051. The reversal of 26583383040 is 4038338562.

It is a happy number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 26583382983 and 26583383001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2128815 + ... + 2141265.

It is an arithmetic number, because the mean of its divisors is an integer number (486612840).

Almost surely, 2^26583383040 is an apocalyptic number.

26583383040 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 26583383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42821929920).

26583383040 is an abundant number, since it is smaller than the sum of its proper divisors (59060476800).

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

26583383040 is a wasteful number, since it uses less digits than its factorization.

26583383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12618 (or 12600 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 26583383040 in words is "twenty-six billion, five hundred eighty-three million, three hundred eighty-three thousand, forty".