26109003648 has 256 divisors, whose sum is σ = 90379376640. Its totient is φ = 6480691200.

The previous prime is 26109003637. The next prime is 26109003671. The reversal of 26109003648 is 84630090162.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 572073 + ... + 616023.

It is an arithmetic number, because the mean of its divisors is an integer number (353044440).

Almost surely, 2^26109003648 is an apocalyptic number.

26109003648 is a gapful number since it is divisible by the number (28) 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 26109003648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45189688320).

26109003648 is an abundant number, since it is smaller than the sum of its proper divisors (64270372992).

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

26109003648 is a wasteful number, since it uses less digits than its factorization.

26109003648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44005 (or 43993 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 26109003648 in words is "twenty-six billion, one hundred nine million, three thousand, six hundred forty-eight".