26690910940416 has 576 divisors, whose sum is σ = 74947953024000. Its totient is φ = 8426128343040.

The previous prime is 26690910940409. The next prime is 26690910940433. The reversal of 26690910940416 is 61404901909662.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 36117605775 + ... + 36117606513.

It is an arithmetic number, because the mean of its divisors is an integer number (130117974000).

Almost surely, 2^{26690910940416} 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 26690910940416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37473976512000).

26690910940416 is an abundant number, since it is smaller than the sum of its proper divisors (48257042083584).

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

26690910940416 is a wasteful number, since it uses less digits than its factorization.

26690910940416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The spelling of 26690910940416 in words is "twenty-six trillion, six hundred ninety billion, nine hundred ten million, nine hundred forty thousand, four hundred sixteen".