26489917440 has 624 divisors, whose sum is σ = 107334864000. Its totient is φ = 6040387584.

The previous prime is 26489917411. The next prime is 26489917451. The reversal of 26489917440 is 4471998462.

26489917440 is a `hidden beast` number, since 2 + 6 + 489 + 91 + 74 + 4 + 0 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 63221551 + ... + 63221969.

It is an arithmetic number, because the mean of its divisors is an integer number (172011000).

Almost surely, 2^26489917440 is an apocalyptic number.

26489917440 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 26489917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53667432000).

26489917440 is an abundant number, since it is smaller than the sum of its proper divisors (80844946560).

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

26489917440 is an equidigital number, since it uses as much as digits as its factorization.

26489917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 26489917440 in words is "twenty-six billion, four hundred eighty-nine million, nine hundred seventeen thousand, four hundred forty".