26449590048 has 288 divisors, whose sum is σ = 84887792640. Its totient is φ = 7176153600.

The previous prime is 26449590047. The next prime is 26449590113. The reversal of 26449590048 is 84009594462.

It is not an unprimeable number, because it can be changed into a prime (26449590047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16336183 + ... + 16337801.

It is an arithmetic number, because the mean of its divisors is an integer number (294749280).

Almost surely, 2^26449590048 is an apocalyptic number.

26449590048 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 26449590048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42443896320).

26449590048 is an abundant number, since it is smaller than the sum of its proper divisors (58438202592).

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

26449590048 is a wasteful number, since it uses less digits than its factorization.

26449590048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 26449590048 in words is "twenty-six billion, four hundred forty-nine million, five hundred ninety thousand, forty-eight".