26011005440 has 320 divisors, whose sum is σ = 74971201536. Its totient is φ = 8462057472.

The previous prime is 26011005437. The next prime is 26011005443. The reversal of 26011005440 is 4450011062.

It is an interprime number because it is at equal distance from previous prime (26011005437) and next prime (26011005443).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (26011005443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91911539 + ... + 91911821.

Almost surely, 2^26011005440 is an apocalyptic number.

26011005440 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 26011005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37485600768).

26011005440 is an abundant number, since it is smaller than the sum of its proper divisors (48960196096).

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

26011005440 is a wasteful number, since it uses less digits than its factorization.

26011005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 26011005440 in words is "twenty-six billion, eleven million, five thousand, four hundred forty".