26449822600080 has 1280 divisors, whose sum is σ = 99662192640000. Its totient is φ = 5727642624000.

The previous prime is 26449822600049. The next prime is 26449822600109. The reversal of 26449822600080 is 8000622894462.

It is a junction number, because it is equal to n+sod(n) for n = 26449822599996 and 26449822600032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25956645811 + ... + 25956646829.

It is an arithmetic number, because the mean of its divisors is an integer number (77861088000).

Almost surely, 2^{26449822600080} is an apocalyptic number.

26449822600080 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 26449822600080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49831096320000).

26449822600080 is an abundant number, since it is smaller than the sum of its proper divisors (73212370039920).

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

26449822600080 is a wasteful number, since it uses less digits than its factorization.

26449822600080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 26449822600080 in words is "twenty-six trillion, four hundred forty-nine billion, eight hundred twenty-two million, six hundred thousand, eighty".