26516012219424 has 1152 divisors, whose sum is σ = 103557242880000. Its totient is φ = 6228213202944.

The previous prime is 26516012219393. The next prime is 26516012219429. The reversal of 26516012219424 is 42491221061562.

26516012219424 is a `hidden beast` number, since 2 + 6 + 5 + 1 + 6 + 0 + 1 + 2 + 219 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 26516012219424.

It is not an unprimeable number, because it can be changed into a prime (26516012219429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11842791297 + ... + 11842793535.

It is an arithmetic number, because the mean of its divisors is an integer number (89893440000).

Almost surely, 2^{26516012219424} is an apocalyptic number.

26516012219424 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 26516012219424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51778621440000).

26516012219424 is an abundant number, since it is smaller than the sum of its proper divisors (77041230660576).

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

26516012219424 is a wasteful number, since it uses less digits than its factorization.

26516012219424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 26516012219424 in words is "twenty-six trillion, five hundred sixteen billion, twelve million, two hundred nineteen thousand, four hundred twenty-four".