26416821362292 has 384 divisors, whose sum is σ = 74729358950400. Its totient is φ = 8042663083392.

The previous prime is 26416821362279. The next prime is 26416821362297. The reversal of 26416821362292 is 29226312861462.

26416821362292 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 6 + 8 + 2 + 1 + 3 + 622 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26416821362297) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2671869373 + ... + 2671879259.

It is an arithmetic number, because the mean of its divisors is an integer number (194607705600).

Almost surely, 2^{26416821362292} 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 26416821362292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37364679475200).

26416821362292 is an abundant number, since it is smaller than the sum of its proper divisors (48312537588108).

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

26416821362292 is a wasteful number, since it uses less digits than its factorization.

26416821362292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10352 (or 10344 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 26416821362292 in words is "twenty-six trillion, four hundred sixteen billion, eight hundred twenty-one million, three hundred sixty-two thousand, two hundred ninety-two".