26490835728 has 640 divisors, whose sum is σ = 95993856000. Its totient is φ = 6824839680.

The previous prime is 26490835711. The next prime is 26490835729. The reversal of 26490835728 is 82753809462.

26490835728 is a `hidden beast` number, since 2 + 6 + 490 + 83 + 5 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (26490835729) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 190581483 + ... + 190581621.

It is an arithmetic number, because the mean of its divisors is an integer number (149990400).

Almost surely, 2^26490835728 is an apocalyptic number.

26490835728 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 26490835728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47996928000).

26490835728 is an abundant number, since it is smaller than the sum of its proper divisors (69503020272).

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

26490835728 is a wasteful number, since it uses less digits than its factorization.

26490835728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 26490835728 in words is "twenty-six billion, four hundred ninety million, eight hundred thirty-five thousand, seven hundred twenty-eight".