26406116000 has 384 divisors, whose sum is σ = 74894077440. Its totient is φ = 9056256000.

The previous prime is 26406115991. The next prime is 26406116021. The reversal of 26406116000 is 61160462.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98163866 + ... + 98164134.

It is an arithmetic number, because the mean of its divisors is an integer number (195036660).

Almost surely, 2^26406116000 is an apocalyptic number.

26406116000 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 26406116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37447038720).

26406116000 is an abundant number, since it is smaller than the sum of its proper divisors (48487961440).

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

26406116000 is a wasteful number, since it uses less digits than its factorization.

26406116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 26406116000 its reverse (61160462), we get a palindrome (26467276462).

The spelling of 26406116000 in words is "twenty-six billion, four hundred six million, one hundred sixteen thousand".