26416555468344 has 192 divisors, whose sum is σ = 77444070762240. Its totient is φ = 8420105675520.

The previous prime is 26416555468313. The next prime is 26416555468393. The reversal of 26416555468344 is 44386455561462.

26416555468344 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 6 + 5 + 5 + 546 + 83 + 4 + 4 = 666.

It is a super-2 number, since 2×26416555468344² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149562804 + ... + 149739324.

It is an arithmetic number, because the mean of its divisors is an integer number (403354535220).

Almost surely, 2^{26416555468344} is an apocalyptic number.

26416555468344 is a gapful number since it is divisible by the number (24) 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 26416555468344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38722035381120).

26416555468344 is an abundant number, since it is smaller than the sum of its proper divisors (51027515293896).

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

26416555468344 is a wasteful number, since it uses less digits than its factorization.

26416555468344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179912 (or 179896 counting only the distinct ones).

The product of its digits is 331776000, while the sum is 63.

The spelling of 26416555468344 in words is "twenty-six trillion, four hundred sixteen billion, five hundred fifty-five million, four hundred sixty-eight thousand, three hundred forty-four".