26016933583872 has 3168 divisors, whose sum is σ = 105600282278400. Its totient is φ = 6243334225920.

The previous prime is 26016933583843. The next prime is 26016933583897. The reversal of 26016933583872 is 27838533961062.

It is a happy number.

26016933583872 is a `hidden beast` number, since 2 + 6 + 0 + 16 + 9 + 33 + 583 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 292325096404 + ... + 292325096492.

Almost surely, 2^{26016933583872} is an apocalyptic number.

26016933583872 is a gapful number since it is divisible by the number (22) 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 26016933583872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52800141139200).

26016933583872 is an abundant number, since it is smaller than the sum of its proper divisors (79583348694528).

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

26016933583872 is a wasteful number, since it uses less digits than its factorization.

26016933583872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 26016933583872 in words is "twenty-six trillion, sixteen billion, nine hundred thirty-three million, five hundred eighty-three thousand, eight hundred seventy-two".