26111004320016 has 2160 divisors, whose sum is σ = 105500638384128. Its totient is φ = 5942972851200.

The previous prime is 26111004319991. The next prime is 26111004320021. The reversal of 26111004320016 is 61002340011162.

It is a happy number.

26111004320016 is a `hidden beast` number, since 2 + 611 + 1 + 0 + 0 + 4 + 32 + 0 + 0 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 19977814435 + ... + 19977815741.

Almost surely, 2^{26111004320016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26111004320016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52750319192064).

26111004320016 is an abundant number, since it is smaller than the sum of its proper divisors (79389634064112).

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

26111004320016 is a wasteful number, since it uses less digits than its factorization.

26111004320016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 26111004320016 its reverse (61002340011162), we get a palindrome (87113344331178).

The spelling of 26111004320016 in words is "twenty-six trillion, one hundred eleven billion, four million, three hundred twenty thousand, sixteen".